Building blocks of geometry
Download as PPTX, PDF0 likes819 views
The document defines basic geometry terms including point, line, plane, ray, line segment, and angle. A point is represented by a dot at a location without size. A line extends in two opposite directions and is named by two points. A plane extends forever like a tabletop. A ray has one endpoint and extends forever in one direction, while a line segment connects two endpoints on a line.
1 of 10
Downloaded 11 times
Recommended
Building Blocks Of Geometry
Building Blocks Of Geometryacavis
油
The document discusses the basic building blocks of geometry - points, lines, and planes. It defines these terms and explains that while they cannot be strictly defined without circular references, they form the foundation for defining all other geometric concepts. Key terms like collinear, coplanar, line segments, rays, congruence, bisection, and parallel/perpendicular lines are then introduced and defined. The document also provides assumptions and limitations for interpreting geometric diagrams.Undefined terms in geometry
Undefined terms in geometryJefferson Karagdag
油
This document defines and provides examples of undefined terms in geometry, including points, lines, planes, and space/solids. It states that an undefined term is a term that does not require further explanation. Points are defined as having no dimensions and are represented by a dot. Lines have infinite length but no width or thickness. Planes are flat surfaces with length and width but no thickness. Space or solids are boundless, three-dimensional sets that can contain points, lines, and planes. The document provides examples of how to name each term and includes diagrams.Similar figures and_proportions
Similar figures and_proportionskaren wagoner
油
This document provides a lesson on similar figures and proportions. It begins with warm up problems comparing ratios to determine if they are equal. It then presents a problem of the day involving finding the first telephone pole with both a red band and emergency call phone. The lesson presentation section defines similar figures as those with the same shape but not necessarily the same size, and having equal corresponding angles and proportional corresponding sides. It provides examples of determining if triangles and four-sided figures are similar by setting up ratios of corresponding sides. The document concludes with a two-part lesson quiz involving identifying if given figures are similar.Math 7 geometry 02 postulates and theorems on points, lines, and planes
Math 7 geometry 02 postulates and theorems on points, lines, and planesGilbert Joseph Abueg
油
This document covers basic concepts in geometry including:
1. Definitions, undefined terms, postulates, and theorems related to points, lines, and planes. Undefined terms include points, lines, and planes. Definitions clearly define concepts like line segments.
2. Postulates are statements accepted as true without proof, including the ruler postulate, segment addition postulate, and plane postulate.
3. Theorems are important statements that can be proven, such as the intersection of lines theorem and the theorem regarding a line and point determining a unique plane.Basic on Postulates
Basic on Postulatesjjlpalacpac
油
It is a lesson about basics in postulate having three objectives below in higher order thinking skills.1.5 Complementary and Supplementary Angles 
1.5 Complementary and Supplementary Angles Dee Black
油
Some slides lifted from: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0CEsQFjAD&url=http%3A%2F%2Fdionmath.wikispaces.com%2Ffile%2Fview%2F2.3%2BComplementary%2Band%2BSuppl.%2BAngles.ppt&ei=_wVFUbzHCa-o4AP9ooGwBQ&usg=AFQjCNF-KDyDx_yiVaUuMJMdM6yOJqHASQ&sig2=wH2TZ9xGxsHgtc4cCnn2QQ&bvm=bv.43828540,d.dmg&cad=rjaASA, SAS,AAS,SSS
ASA, SAS,AAS,SSSAnna Carmela Lavin
油
This document discusses triangle congruence, including definitions of triangles, corresponding sides and angles, and the four main postulates used to prove triangles are congruent: SSS, SAS, ASA, and SAA. It provides examples of determining if triangles are congruent and finding missing side lengths through algebraic applications of the congruence postulates and theorems. Key ideas covered are the properties of triangles, corresponding parts of congruent triangles, and using congruence rules to solve problems.Math 9 similar triangles intro
Math 9 similar triangles introGilbert Joseph Abueg
油
The document is a lecture on similar triangles. It defines similar triangles as having the same shape but different sizes, and discusses how similar triangles have corresponding angles that are congruent and corresponding sides that are proportional. It provides examples of similar triangles and statements showing their similarity. It also covers using proportions of corresponding sides to solve for missing sides in similar triangles and several proportionality principles related to similar triangles, including the basic proportionality theorem involving parallel lines cutting across a triangle.GEOMETRY: POINTS, LINES. PLANE
GEOMETRY: POINTS, LINES. PLANEM, Michelle Jeannite
油
By this end of the presentation you will be able to:
Identify and model points, lines, and planes.
Identify collinear and coplanar points.
Identify non collinear and non coplanar points.
Math 7 inequalities and intervals
Math 7 inequalities and intervalsGilbert Joseph Abueg
油
This document provides an introduction to inequalities and intervals. It defines inequalities as ranges of values rather than single numbers, showing that a quantity is greater than or less than another. Symbols for inequalities like <, >, , are introduced. Compound inequalities representing values between two numbers are explained. Interval notation is defined using brackets and parentheses to indicate whether endpoints are included or not. Examples of writing inequalities as intervals and graphing intervals on number lines are provided.Points, Lines and Planes
Points, Lines and Planesranzzley
油
This document defines key geometry concepts such as points, lines, planes, and their relationships. It provides examples of naming points, lines, and planes, including collinear points that lie on the same line and coplanar points that lie in the same plane. Examples also demonstrate naming segments and rays with different endpoints, and identifying opposite rays. Diagrams show intersecting lines and planes, including lines within a plane, lines that do not intersect a plane, and lines intersecting a plane at a point. Two intersecting planes are shown meeting at a line of intersection. Guided practice problems apply the concepts to name intersections and identify relationships in diagrams.DEFINED AND UNDEFINED TERMS IN GEOMETRY.pptx
DEFINED AND UNDEFINED TERMS IN GEOMETRY.pptxXiVitrez1
油
This document appears to be a lesson plan on basic undefined and defined terms in geometry. The objectives are to:
1. Determine basic undefined terms like point, line, and plane and defined terms.
2. Name basic geometric figures appropriately.
3. Represent points, lines, and planes using models.
The lesson defines terms like point, line, plane and their representations. It discusses undefined terms like point, line, and plane and defined terms like collinear points and coplanar points. Examples and illustrations are provided to explain the concepts. Activities like naming figures and determining if statements are true or false are included for student practice.Mathematics 7: Angles (naming, types and how to measure them)
Mathematics 7: Angles (naming, types and how to measure them)Romne Ryan Portacion
油
An angle is defined as the amount of turn between two straight lines that share a common endpoint called the vertex. Angles are measured in degrees using a protractor and can be acute (between 0-90 degrees), right (90 degrees), obtuse (between 90-180 degrees), or straight (180 degrees). Angles can be named using the vertex letter and the first letters of the lines that form the angle, such as BAC.Cartesian Coordinate Plane - Mathematics 8
Cartesian Coordinate Plane - Mathematics 8Carlo Luna
油
This document explains the Cartesian coordinate plane. It describes how the plane is divided into four quadrants by the x and y axes which intersect at the origin. It provides examples of plotting points using ordered pairs with coordinates (x,y). The document also notes that Rene Descartes developed this system by combining algebra and geometry. It includes an activity for students to physically position themselves on the x and y axes to learn the coordinate system.Triangle inequalities
Triangle inequalitiesKim Alvin Giner
油
The document discusses various theorems and properties related to triangles, including:
1) The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
2) The triangle inequality theorem states that the sum of the measures of any two sides of a triangle is greater than the measure of the third side.
3) Properties relating the lengths of sides and measures of angles in a triangle, such as if sides are unequal then angles will be unequal as well.Congruent triangles theorem
Congruent triangles theoremMadhavi Mahajan
油
This document discusses triangle congruence theorems. It defines the five main congruence theorems: ASA, SAS, SSS, AAS, and introduces four additional theorems for right triangles only: HL, HA, LL, LA. Examples are provided to demonstrate applying each theorem to determine if two triangles are congruent based on given side or angle information.Module 1 geometry of shape and size
Module 1 geometry of shape and sizedionesioable
油
This document provides an overview of Module 1 of a geometry course which covers the topics of points, lines, planes, angles, and their measures. The key concepts covered include:
1. Describing points, lines, and planes as the undefined terms in geometry.
2. Learning to name line segments, rays, and the parts of an angle.
3. Determining the measure of an angle using a protractor and illustrating different angle types.
Exercises are provided to help students practice identifying geometric terms, relationships between points and lines, and naming angles and their components. The overall goal is for students to develop basic geometry skills in visualizing and describing fundamental geometric objects.Classification of angles
Classification of anglesMark Santos
油
1. There are three classifications of angles: acute angles which are less than 90 degrees, right angles which are exactly 90 degrees, and obtuse angles which are greater than 90 degrees.
2. The document provides examples and definitions of each angle classification and asks students to identify examples of each type of angle from images.
3. Students are expected to learn to identify, define, and classify angles as acute, right, or obtuse.Mathematics 8 Reasoning
Mathematics 8 ReasoningJuan Miguel Palero
油
Here are the steps to identify the hypothesis and conclusion in conditional statements not written in if-then form:
1. Underline the part that describes a condition or situation. This is the hypothesis.
2. Put the part that describes a result or consequence in bold. This is the conclusion.
3. Rewrite the statement in if-then form by putting the hypothesis before "if" and the conclusion before "then".
For example:
- National Disaster Risk Reduction Council volunteers are busy during calamities.
Hypothesis (underlined): during calamities
Conclusion (bold): are busy
If-then form: If it is during calamities, then National DisApplying Triangle Congruence to Construct Perpendicular Lines and.pptx
Applying Triangle Congruence to Construct Perpendicular Lines and.pptxKahalamanChannel
油
This document discusses using triangle congruence and angle bisectors to construct perpendicular lines. It defines an angle bisector as a line that cuts an angle exactly in half and states that any point on an angle bisector is equidistant from the sides of the angle, according to the Angle Bisector Theorem. The document also reviews triangle congruence theorems and solving simple equations before asking multiple choice questions to test understanding.TRIANGLE INEQUALITY THEOREM
TRIANGLE INEQUALITY THEOREMMichaellaApale
油
The document discusses several theorems related to triangles:
1) The triangle inequality theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than their difference.
2) The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the remote interior angles.
3) The hinge theorem states that if two triangles have two congruent sides but not congruent included angles, then the third sides will be unequal, with the longer side opposite the larger angle.GEOMETRY: POINTS, LINES. PLANES
GEOMETRY: POINTS, LINES. PLANESM, Michelle Jeannite
油
The document discusses basic concepts in geometry including points, lines, planes, and their relationships. It defines a point as having no size or shape, a line as connecting two or more points and extending indefinitely in both directions, and a plane as a flat two-dimensional surface containing points and lines. The document provides examples of naming points, lines, and planes and identifies collinear points that lie on the same line and coplanar points that lie on the same plane. It includes practice problems asking students to name, draw, and identify various geometric concepts.Polygons
PolygonsFidelfo Moral
油
The document defines and discusses different types of polygons. The main points are:
1. A polygon is a plane figure formed by three or more line segments that intersect only at their endpoints to form a closed region.
2. Polygons can be classified as convex or concave based on whether any line segment connecting two points within the polygon lies entirely inside or outside the polygon.
3. Regular polygons are polygons that are both equilateral (all sides the same length) and equiangular (all interior angles the same measure).8 4 Rhombuses, Rectangles, And Squares
8 4 Rhombuses, Rectangles, And Squaresguesta7a51cbc
油
This document discusses different types of quadrilaterals (four-sided polygons), including parallelograms, rectangles, rhombuses, and squares. It provides properties to define each shape and instructs how to make a foldable with examples of each quadrilateral type. Key properties include: parallelograms have two pairs of parallel sides; rectangles are parallelograms with four right angles; rhombuses are parallelograms with four congruent sides; squares are rectangles and rhombuses with four right angles and four congruent sides. A Venn diagram compares the properties of these quadrilaterals.Point, Line and plane
Point, Line and planeKristine Joy Ramirez
油
This document provides definitions and examples related to key geometric concepts. It introduces undefined terms like point, line, and plane and defines them as having no size, extending infinitely in two directions, and being a flat surface that extends infinitely, respectively. It discusses other terms like collinear points, coplanar, segments, and rays. The document also covers postulates about how points and lines intersect and defines a postulate. Examples illustrate applying the concepts and a quiz tests understanding.Angles Formed by Parallel Lines Cut by a Transversal
Angles Formed by Parallel Lines Cut by a TransversalBella Jao
油
This document discusses parallel lines and angles formed when lines are cut by a transversal. It begins by defining parallel lines and explaining that a transversal is a line that intersects two or more lines at different points. It then defines and provides examples of several types of angles formed, including alternate interior/exterior angles, same side interior/exterior angles, and corresponding angles. Groups are then assigned to prove properties of these angles for parallel lines cut by a transversal. The document concludes with practice problems finding missing angle measures using the properties and an assignment involving parallel lines cut by a transversal.Integers powerpoint
Integers powerpointMeredith_Haataja
油
This document defines integers and provides examples of adding positive and negative integers. It explains that integers are whole numbers that do not have decimals or fractions. Positive integers increase as you move to the right of zero on a number line, while negative integers decrease as you move left. The document also presents two methods for adding integers: using a number line by moving left and right, and using the absolute value of numbers and subtraction.Cartesian coordinate plane
Cartesian coordinate planeElvie Hernandez
油
The document discusses the Cartesian coordinate plane and functions. It defines the Cartesian plane as being formed by two perpendicular number lines called the x-axis and y-axis that intersect at the origin (0,0). It describes how each point on the plane is associated with an ordered pair (x,y) denoting its coordinates and how the plane is divided into four quadrants. It then demonstrates how to plot various points on the plane by starting at the origin and moving right or left along the x-axis and up or down along the y-axis. Finally, it discusses relations and functions, defining a function as a relation where each x-value is mapped to only one y-value.GEOMETRY
GEOMETRYEvelyn Harding
油
This document is a lesson on understanding points, lines, and planes in geometry from Holt McDougal Geometry. It includes examples of naming and drawing points, lines, segments, rays, and planes. It also defines key terms like collinear, coplanar, and postulates. The lesson explains that points, lines, and planes are the basic undefined terms in geometry and discusses properties like intersections and representations of intersections between geometric figures.4.2 Congruence and Triangles
4.2 Congruence and Trianglesejfischer
油
Here are 3 practice problems from the textbook:
14. ABC XYZ. Find mA if mX = 50属.
16. DEF GHI. If DF = 12 and GH = 8, find IH.
35. Prove: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are congruent.More Related Content
What's hot (20)
GEOMETRY: POINTS, LINES. PLANE
GEOMETRY: POINTS, LINES. PLANEM, Michelle Jeannite
油
By this end of the presentation you will be able to:
Identify and model points, lines, and planes.
Identify collinear and coplanar points.
Identify non collinear and non coplanar points.
Math 7 inequalities and intervals
Math 7 inequalities and intervalsGilbert Joseph Abueg
油
This document provides an introduction to inequalities and intervals. It defines inequalities as ranges of values rather than single numbers, showing that a quantity is greater than or less than another. Symbols for inequalities like <, >, , are introduced. Compound inequalities representing values between two numbers are explained. Interval notation is defined using brackets and parentheses to indicate whether endpoints are included or not. Examples of writing inequalities as intervals and graphing intervals on number lines are provided.Points, Lines and Planes
Points, Lines and Planesranzzley
油
This document defines key geometry concepts such as points, lines, planes, and their relationships. It provides examples of naming points, lines, and planes, including collinear points that lie on the same line and coplanar points that lie in the same plane. Examples also demonstrate naming segments and rays with different endpoints, and identifying opposite rays. Diagrams show intersecting lines and planes, including lines within a plane, lines that do not intersect a plane, and lines intersecting a plane at a point. Two intersecting planes are shown meeting at a line of intersection. Guided practice problems apply the concepts to name intersections and identify relationships in diagrams.DEFINED AND UNDEFINED TERMS IN GEOMETRY.pptx
DEFINED AND UNDEFINED TERMS IN GEOMETRY.pptxXiVitrez1
油
This document appears to be a lesson plan on basic undefined and defined terms in geometry. The objectives are to:
1. Determine basic undefined terms like point, line, and plane and defined terms.
2. Name basic geometric figures appropriately.
3. Represent points, lines, and planes using models.
The lesson defines terms like point, line, plane and their representations. It discusses undefined terms like point, line, and plane and defined terms like collinear points and coplanar points. Examples and illustrations are provided to explain the concepts. Activities like naming figures and determining if statements are true or false are included for student practice.Mathematics 7: Angles (naming, types and how to measure them)
Mathematics 7: Angles (naming, types and how to measure them)Romne Ryan Portacion
油
An angle is defined as the amount of turn between two straight lines that share a common endpoint called the vertex. Angles are measured in degrees using a protractor and can be acute (between 0-90 degrees), right (90 degrees), obtuse (between 90-180 degrees), or straight (180 degrees). Angles can be named using the vertex letter and the first letters of the lines that form the angle, such as BAC.Cartesian Coordinate Plane - Mathematics 8
Cartesian Coordinate Plane - Mathematics 8Carlo Luna
油
This document explains the Cartesian coordinate plane. It describes how the plane is divided into four quadrants by the x and y axes which intersect at the origin. It provides examples of plotting points using ordered pairs with coordinates (x,y). The document also notes that Rene Descartes developed this system by combining algebra and geometry. It includes an activity for students to physically position themselves on the x and y axes to learn the coordinate system.Triangle inequalities
Triangle inequalitiesKim Alvin Giner
油
The document discusses various theorems and properties related to triangles, including:
1) The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
2) The triangle inequality theorem states that the sum of the measures of any two sides of a triangle is greater than the measure of the third side.
3) Properties relating the lengths of sides and measures of angles in a triangle, such as if sides are unequal then angles will be unequal as well.Congruent triangles theorem
Congruent triangles theoremMadhavi Mahajan
油
This document discusses triangle congruence theorems. It defines the five main congruence theorems: ASA, SAS, SSS, AAS, and introduces four additional theorems for right triangles only: HL, HA, LL, LA. Examples are provided to demonstrate applying each theorem to determine if two triangles are congruent based on given side or angle information.Module 1 geometry of shape and size
Module 1 geometry of shape and sizedionesioable
油
This document provides an overview of Module 1 of a geometry course which covers the topics of points, lines, planes, angles, and their measures. The key concepts covered include:
1. Describing points, lines, and planes as the undefined terms in geometry.
2. Learning to name line segments, rays, and the parts of an angle.
3. Determining the measure of an angle using a protractor and illustrating different angle types.
Exercises are provided to help students practice identifying geometric terms, relationships between points and lines, and naming angles and their components. The overall goal is for students to develop basic geometry skills in visualizing and describing fundamental geometric objects.Classification of angles
Classification of anglesMark Santos
油
1. There are three classifications of angles: acute angles which are less than 90 degrees, right angles which are exactly 90 degrees, and obtuse angles which are greater than 90 degrees.
2. The document provides examples and definitions of each angle classification and asks students to identify examples of each type of angle from images.
3. Students are expected to learn to identify, define, and classify angles as acute, right, or obtuse.Mathematics 8 Reasoning
Mathematics 8 ReasoningJuan Miguel Palero
油
Here are the steps to identify the hypothesis and conclusion in conditional statements not written in if-then form:
1. Underline the part that describes a condition or situation. This is the hypothesis.
2. Put the part that describes a result or consequence in bold. This is the conclusion.
3. Rewrite the statement in if-then form by putting the hypothesis before "if" and the conclusion before "then".
For example:
- National Disaster Risk Reduction Council volunteers are busy during calamities.
Hypothesis (underlined): during calamities
Conclusion (bold): are busy
If-then form: If it is during calamities, then National DisApplying Triangle Congruence to Construct Perpendicular Lines and.pptx
Applying Triangle Congruence to Construct Perpendicular Lines and.pptxKahalamanChannel
油
This document discusses using triangle congruence and angle bisectors to construct perpendicular lines. It defines an angle bisector as a line that cuts an angle exactly in half and states that any point on an angle bisector is equidistant from the sides of the angle, according to the Angle Bisector Theorem. The document also reviews triangle congruence theorems and solving simple equations before asking multiple choice questions to test understanding.TRIANGLE INEQUALITY THEOREM
TRIANGLE INEQUALITY THEOREMMichaellaApale
油
The document discusses several theorems related to triangles:
1) The triangle inequality theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than their difference.
2) The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the remote interior angles.
3) The hinge theorem states that if two triangles have two congruent sides but not congruent included angles, then the third sides will be unequal, with the longer side opposite the larger angle.GEOMETRY: POINTS, LINES. PLANES
GEOMETRY: POINTS, LINES. PLANESM, Michelle Jeannite
油
The document discusses basic concepts in geometry including points, lines, planes, and their relationships. It defines a point as having no size or shape, a line as connecting two or more points and extending indefinitely in both directions, and a plane as a flat two-dimensional surface containing points and lines. The document provides examples of naming points, lines, and planes and identifies collinear points that lie on the same line and coplanar points that lie on the same plane. It includes practice problems asking students to name, draw, and identify various geometric concepts.Polygons
PolygonsFidelfo Moral
油
The document defines and discusses different types of polygons. The main points are:
1. A polygon is a plane figure formed by three or more line segments that intersect only at their endpoints to form a closed region.
2. Polygons can be classified as convex or concave based on whether any line segment connecting two points within the polygon lies entirely inside or outside the polygon.
3. Regular polygons are polygons that are both equilateral (all sides the same length) and equiangular (all interior angles the same measure).8 4 Rhombuses, Rectangles, And Squares
8 4 Rhombuses, Rectangles, And Squaresguesta7a51cbc
油
This document discusses different types of quadrilaterals (four-sided polygons), including parallelograms, rectangles, rhombuses, and squares. It provides properties to define each shape and instructs how to make a foldable with examples of each quadrilateral type. Key properties include: parallelograms have two pairs of parallel sides; rectangles are parallelograms with four right angles; rhombuses are parallelograms with four congruent sides; squares are rectangles and rhombuses with four right angles and four congruent sides. A Venn diagram compares the properties of these quadrilaterals.Point, Line and plane
Point, Line and planeKristine Joy Ramirez
油
This document provides definitions and examples related to key geometric concepts. It introduces undefined terms like point, line, and plane and defines them as having no size, extending infinitely in two directions, and being a flat surface that extends infinitely, respectively. It discusses other terms like collinear points, coplanar, segments, and rays. The document also covers postulates about how points and lines intersect and defines a postulate. Examples illustrate applying the concepts and a quiz tests understanding.Angles Formed by Parallel Lines Cut by a Transversal
Angles Formed by Parallel Lines Cut by a TransversalBella Jao
油
This document discusses parallel lines and angles formed when lines are cut by a transversal. It begins by defining parallel lines and explaining that a transversal is a line that intersects two or more lines at different points. It then defines and provides examples of several types of angles formed, including alternate interior/exterior angles, same side interior/exterior angles, and corresponding angles. Groups are then assigned to prove properties of these angles for parallel lines cut by a transversal. The document concludes with practice problems finding missing angle measures using the properties and an assignment involving parallel lines cut by a transversal.Integers powerpoint
Integers powerpointMeredith_Haataja
油
This document defines integers and provides examples of adding positive and negative integers. It explains that integers are whole numbers that do not have decimals or fractions. Positive integers increase as you move to the right of zero on a number line, while negative integers decrease as you move left. The document also presents two methods for adding integers: using a number line by moving left and right, and using the absolute value of numbers and subtraction.Cartesian coordinate plane
Cartesian coordinate planeElvie Hernandez
油
The document discusses the Cartesian coordinate plane and functions. It defines the Cartesian plane as being formed by two perpendicular number lines called the x-axis and y-axis that intersect at the origin (0,0). It describes how each point on the plane is associated with an ordered pair (x,y) denoting its coordinates and how the plane is divided into four quadrants. It then demonstrates how to plot various points on the plane by starting at the origin and moving right or left along the x-axis and up or down along the y-axis. Finally, it discusses relations and functions, defining a function as a relation where each x-value is mapped to only one y-value.Viewers also liked (20)
GEOMETRY
GEOMETRYEvelyn Harding
油
This document is a lesson on understanding points, lines, and planes in geometry from Holt McDougal Geometry. It includes examples of naming and drawing points, lines, segments, rays, and planes. It also defines key terms like collinear, coplanar, and postulates. The lesson explains that points, lines, and planes are the basic undefined terms in geometry and discusses properties like intersections and representations of intersections between geometric figures.4.2 Congruence and Triangles
4.2 Congruence and Trianglesejfischer
油
Here are 3 practice problems from the textbook:
14. ABC XYZ. Find mA if mX = 50属.
16. DEF GHI. If DF = 12 and GH = 8, find IH.
35. Prove: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are congruent.GEOMETRY INTRODUCTION
GEOMETRY INTRODUCTIONKarla Guardiola
油
This document defines and discusses basic geometric concepts such as points, lines, planes, segments, rays, and their relationships. It provides examples of naming and drawing these concepts, and defines terms like collinear, coplanar, and intersections. The key topics covered are that a point has no size, a line extends infinitely in both directions, and a plane extends infinitely in all directions.Basics of geometry
Basics of geometryRobert Tinaro
油
Points, lines, and planes are the undefined terms in geometry that form its foundations. A point has no dimensions and marks a location in space, a line extends in one dimension, and a plane extends in two dimensions. The basic elements of 2D space are points, lines, line segments, rays, angles, and their intersections. Rays and angles are defined using points and lines, with rays having a starting point and angles consisting of two rays with the same starting point.1 1 understanding points, lines, & planes
1 1 understanding points, lines, & planesjbm010203
油
This document is from a Holt Geometry textbook and covers key concepts about points, lines, and planes. It defines points, lines, and planes as undefined terms that are building blocks of geometry. It discusses properties such as collinear points on a line, coplanar points on a plane, and intersections between lines and planes. Examples demonstrate naming and drawing points, lines, segments, rays, and planes as well as representing intersections between geometric figures.
Geometric Mathematical Structure 
Geometric Mathematical Structure Just Passing By
油
This document provides information about key concepts in geometry. It begins by defining geometry as the study of earth measurement and notes that it focuses on properties of undefined terms like points, lines, and planes. It then discusses important figures in geometry like Euclid and Thales.
The document outlines several elements of geometry, including undefined terms like points, lines, and planes. It defines defined terms like line segments, rays, and angles. It also distinguishes between axioms, postulates, and theorems. Finally, it provides examples and tests to assess understanding of concepts like coplanar points, collinear points, and different geometric objects.Geometry Terms - 5th Grade
Geometry Terms - 5th Graderbosch
油
This document defines and describes basic geometry terms including points, lines, line segments, rays, planes, angles, and the relationships between lines such as intersecting, parallel, and perpendicular lines. Points mark exact locations, lines have no endpoints, line segments connect two endpoints, rays have one endpoint and extend in one direction, planes are flat endless surfaces, and angles are formed by two rays with a shared endpoint which can be acute, obtuse, right, or straight.Geometry In The Real World
Geometry In The Real WorldCanute Jacobsen
油
This power point is a project for Mrs. Sykes, by Canute Jacobsen. The power point itself is about how geometry is involved in the world.Postulates and Theorems
Postulates and Theoremsthatonegirlmaddie
油
This document provides an outline and overview of key concepts in geometry including line postulates, triangle postulates, parallelogram postulates, polygon postulates, number properties, laws of reasoning, and definitions. The outline includes 46 sections covering topics such as congruence, parallel lines, slopes, triangle congruence theorems, properties of parallelograms, and definitions of terms like diagonal, isosceles trapezoid, and exterior angle. The purpose is to summarize the key concepts and postulates addressed in chapter 6 and beyond of a geometry textbook.9 1 Points, Lines, And Planes
9 1 Points, Lines, And Planesbigsis
油
This slide show was prepared to help my fourth grade class learn about points, lines, and planes as part of our geometry unit in math and to help them with their homework.Math 7 geometry 01 undefined terms rev 2
Math 7 geometry 01 undefined terms rev 2Gilbert Joseph Abueg
油
This document provides an introduction to basic geometry concepts. It defines geometry as the branch of mathematics concerned with measuring and relating properties of shapes. It discusses key undefined terms like points, lines, and planes. It also covers related concepts such as collinear and coplanar points, as well as subsets of lines like segments and rays. The document explains how lines and planes intersect, with two lines intersecting at a single point, two planes intersecting in a single line, and a plane and line intersecting at a single point.Topic 1. points, line and plane
Topic 1. points, line and planeAlex Morron
油
The three undefined terms in geometry are point, line, and plane. A point indicates a position in space and is named with capital letters or coordinates. A line is an infinite set of adjacent points that extends in both directions, named using two points or a lowercase letter. A plane is a flat surface that extends indefinitely in all directions, named using three points or an uppercase letter.1 3 points, lines, planes
1 3 points, lines, planesHuron School District
油
This document defines key geometric concepts including points, lines, planes and their relationships. It explains that points have no size, lines extend indefinitely and planes are flat surfaces that extend without limits. It also covers topics like collinear points that lie on the same line, determining if objects are coplanar by lying on the same plane, and the different types of intersections between lines and planes, which can be a point, line or no intersection.Geometry
GeometryKristen T
油
The document discusses various geometry concepts including angles, polygons, triangles, quadrilaterals, parallel lines, area, and volume. It defines types of angles and angle relationships formed by parallel lines. It also defines properties of triangles, quadrilaterals like parallelograms, trapezoids, and polygons. It provides formulas to calculate the area of various shapes and the circumference and volume of circles.Interview as a method for qualitative research
Interview as a method for qualitative researchdianejanzen
油
The document discusses interview as a method for qualitative research. It defines qualitative research interviews as seeking to understand the meanings and themes in subjects' lives. There are several types of interviews described, including informal conversations, standardized questions, and closed questions. Proper training of interviewers is important to minimize bias and get quality responses. Questions should cover behaviors, opinions, feelings and be asked in a logical sequence. The interview process involves preparation, recording responses, and analysis.Observation in Qualitative Research
Observation in Qualitative Researchsheroz_ramzan
油
This document discusses qualitative research methods, specifically observation. It defines qualitative research as relying on narrative descriptions to capture social phenomena's complexity. Observation involves directly recording sample behaviors rather than communicating with people. Types of observation include participant/non-participant, direct/indirect, structured/unstructured. Observation advantages include collecting natural data and disadvantages include bias and the observer's paradox. Observational checklists record behaviors through rating scales and coding to analyze participants systematically.Basics Of Geometry 1
Basics Of Geometry 1mpscils598s07
油
The document introduces some basic concepts in geometry, including:
1. Points, lines, and planes are undefined terms that form the foundations of geometry.
2. It explains concepts like collinear points, coplanar points, line segments, rays, and how to classify angles.
3. It discusses intersections of lines, planes, and examples of modeling intersections of geometric figures.Math Trivia 
Math Trivia Ahudson
油
- The document contains various interesting math and number facts, including that multiplying two very large numbers equals an even larger number, the many ways to make change for $1 and arrange reindeer, and properties of prime numbers and pi.7 math lm mod4
7 math lm mod4Mirasol Ralo
油
This document provides an introduction to basic geometric concepts and terms used in plane geometry. It defines points, lines, and planes as undefined terms in geometry and describes how they can be represented using real-world objects. The document also defines and provides examples of other geometric relationships between points and lines, including collinear points, concurrent lines, intersecting lines, parallel lines, and skew lines. It introduces line segments and rays as subsets of lines.More from Cinnaminson Public Schools (20)
2015SupervisorResume
2015SupervisorResumeCinnaminson Public Schools
油
Joshua W. Zagorski is a math teacher at Cinnaminson Township Public Schools in New Jersey. He has over 10 years of experience teaching mathematics at the middle and high school levels. He holds a Master's degree in Education from La Salle University and a Bachelor's degree in Sociology from Moravian College. Zagorski has received several honors for his teaching, including being named Teacher of the Year at Cinnaminson Middle School. He actively integrates technology into his classroom and has led initiatives to supplement math instruction.1.8 lab
1.8 labCinnaminson Public Schools
油
This document contains instructions for an experiment to measure the time it takes for a varying number of students to complete a task of standing, clapping, and sitting. Students will take turns performing the task until all have participated, and the time to complete each round will be recorded. The number of students is the independent variable and time is the dependent variable. Data for groups of 3 to 24 students will be plotted on a graph and the best fit line drawn to analyze the correlation between more students and longer completion times.Budget project
Budget projectCinnaminson Public Schools
油
This document provides instructions for creating a realistic monthly budget. It explains that a budget accounts for income versus expenses, with the goal of expenses being less than income. Common expenses are listed like housing, utilities, transportation, food, and savings, which should be at least 5% of income. Students will be assigned an occupation with a set income and must choose housing, a car, and estimate other expenses to track in a monthly budget worksheet. If expenses exceed income or savings is less than 5%, spending habits must be adjusted.Scale drawing table
Scale drawing tableCinnaminson Public Schools
油
This document provides instructions for creating a scale drawing of a piece of furniture. It notes that measurements should be provided in either boxes or inches, not both. As an example, a grey shelf that is 3 feet by 1 foot in real life would be drawn as either 3 boxes by 1 box or 0.75 inches by 0.25 inches on the scale drawing, since the scale factor is that 1 foot equals 1/4 inch or one box.Linear equation graphic
Linear equation graphicCinnaminson Public Schools
油
A linear equation is represented by y = mx + b, where m is the coefficient that determines the steepness of the graph line, b is the y-intercept or the point at which the line crosses the y-axis, and x and y are coordinate pairs that each represent a single point on the line.
Scale drawing project
Scale drawing projectCinnaminson Public Schools
油
This document provides instructions for a scale drawing project of a classroom floor plan. Students are asked to measure a classroom, determine an appropriate scale to fit the room on a piece of graph paper, and draw the outline of the room along with major furniture items using the scale. Students must include a scale bar, title, and colors to make the floor plan realistic. The project aims to provide floor plans of classrooms to facilitate school renovations.Scale drawing do nows
Scale drawing do nowsCinnaminson Public Schools
油
Jenn had to create a scale drawing of her classroom for a school project. She measured her classroom and found it was 24 feet by 30 feet. To fit the drawing on graph paper, Jenn decided to use a scale of 1 foot equals 1/4 inch.Lifeline project grade sheet (2)
Lifeline project grade sheet (2)Cinnaminson Public Schools
油
This grade sheet is for a lifeline project and assigns points to students for correctly graphing life events before and after their birth on a timeline, using accurate numerical representations and year intervals, as well as adding illustrations or labels for graphed events. It outlines the specific criteria students will be judged on, including correctly placing their birth at zero, graphing at least three pre-birth and six post-birth events, and creating a neat and creative final project.Lifelineproject
LifelineprojectCinnaminson Public Schools
油
This document provides directions for creating a personal lifeline. Students must include their birth and at least 3 events that occurred before they were born, with each event listing the date as a fraction of years before or after the student's birth (assigned as 0). Events should have the month and year, the student's age at the event, and a brief description. Sample events include parents meeting, siblings being born, first teeth, words, bike riding, moves, vacations, or historical events. The lifeline may include one break and some photos.Polygons and quadrilaterals
Polygons and quadrilateralsCinnaminson Public Schools
油
The document discusses polygons and quadrilaterals. It defines regular and irregular polygons, as well as convex and concave polygons. It then defines different types of quadrilaterals including trapezoids, rectangles, squares, rhombuses, and parallelograms. It provides three examples of finding the value of x and angle measures in different geometric shapes.L4 angles in polygons
L4 angles in polygonsCinnaminson Public Schools
油
The document provides examples and explanations of geometry concepts including finding the perimeter of a regular octagon where one side is 12 cm, the triangle sum rule stating the interior angles of a triangle sum to 180 degrees, the definition of a diagonal as a line segment connecting two non-adjacent vertices of a polygon, and examples of finding the number of diagonals in nonagons and dodecagons.Congruent angles go
Congruent angles goCinnaminson Public Schools
油
Vertical angles are angles that are opposite each other when two lines intersect. Corresponding angles are angles that are in the same relative position to the point of intersection but on opposite sides of the intersecting lines. Alternate exterior angles are nonadjacent angles outside of the intersecting lines formed by a transversal crossing two parallel lines. Alternate interior angles are nonadjacent angles inside of the intersecting lines formed by a transversal crossing two parallel lines.Lesson 3 line and angle relationships
Lesson 3 line and angle relationshipsCinnaminson Public Schools
油
This document discusses different types of lines and their relationships. It defines parallel lines as two lines that lie in the same plane and do not intersect, intersecting lines as lines that cross paths at one point, and skew lines as lines that do not lie in the same plane and neither intersect nor are parallel. The document also notes that two points are needed to form a line and that two straight lines cannot intersect at more than one point.Angle relationships
Angle relationshipsCinnaminson Public Schools
油
1) The document defines and provides examples of different types of angles including adjacent angles, complementary angles, supplementary angles, vertical angles, and angles formed when parallel lines are cut by a transversal.
2) It then provides practice problems involving calculating missing angles using properties such as angles summing to 90, 180 degrees, and the interior angles of triangles summing to 180 degrees.
3) The final problems involve identifying congruent, supplementary, and corresponding angles related to two parallel lines cut by a transversal.Angle relationships
Angle relationshipsCinnaminson Public Schools
油
1) The document defines and provides examples of different types of angles including adjacent angles, complementary angles, supplementary angles, vertical angles, and angles formed when parallel lines are cut by a transversal.
2) It then provides practice problems involving calculating missing angles using properties such as angles summing to 90 or 180 degrees. Problems include solving for missing angles in triangles where the three interior angles sum to 180 degrees.
3) The last problems involve identifying properties of angles formed when two lines are parallel and cut by a transversal, such as naming congruent or supplementary angles.Sample questions 2013
Sample questions 2013Cinnaminson Public Schools
油
The document contains 4 math word problems and their solutions:
1) Choosing 2 students from a group of 4 can be done in 6 combinations.
2) 15 - 3(2+1) = 15 - 3(3) = 15 - 9 = 6
3) A room measuring 8 feet 6 inches by 12 feet with 6-inch tiles needs 408 tiles.
4) A sequence with first terms 3, 5, 7, 9 has a rule of adding 2 to get the next term; a different sequence following the same rule of adding 2 would have first terms 5, 7, 9, 11, and the 100th term would be 198.7th ask prep jeopardy
7th ask prep jeopardyCinnaminson Public Schools
油
The document contains a practice test for a 7th grade math assessment with 500 multiple choice questions covering topics like fractions, order of operations, geometry, probability, and more. Each question is numbered and includes 4 answer options with the correct answer indicated. The test reviews essential 7th grade math concepts and skills in a standardized multiple choice format.8th ask prep jeopardy
8th ask prep jeopardyCinnaminson Public Schools
油
This document contains 100 math word problems and multiple choice questions from an 8th grade standardized test practice. It provides the question, possible answer choices, and the correct answer for each problem. The questions cover a range of math topics including arithmetic, algebra, geometry, statistics, probability, and measurement.Nj ask jeopardy 1
Nj ask jeopardy 1Cinnaminson Public Schools
油
This document contains a series of questions covering various math and statistics topics, including:
- Geometry concepts like the Pythagorean theorem and types of polygons
- Algebra topics such as linear equations, solving equations, and arithmetic sequences
- Probability, such as calculating probabilities and identifying median, mode, and mean
- Graphs like pie charts, box-and-whisker plots, and scatter plots
- Other topics like ratios, decimals, and irrational numbersBuilding blocks of geometry
- 1. How do you explain the basic terms of geometry?
- 2. A location. Without size. Represented by a dot. Named by a capital letter. Point A
- 3. The set of all points.
- 4. A series of points that extends in two opposite directions without end. You can name a line by any two points on the line with a little line symbol above them. A B
- 5. Planes are usually represented by a shape that looks like a tabletop or a parallelogram. A plane is named by a single letter (plane m) or by three points (plane ABC). Has no thickness and extends forever.
- 6. Part of a line. Has one endpoint and extends forever in one direction.
- 7. Part of a line or ray that extends from one endpoint to another.
- 8. Three points Two lines A plane
- 9. Three rays Two line segments