Similarity day 1 with activity
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1. The document provides instructions and objectives for geometry drill 3.17, which includes solving ratios and proportions to find unknown values. 2. It also contains examples of using ratios and proportions to find missing angle measures in a triangle given the ratio of the existing angles, and examples of setting up and solving proportions to find unknown side lengths when given a scale drawing. 3. Key concepts covered include ratios, proportions, similar polygons, scale factors, and using properties of proportions to solve problems involving similar figures.
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Proving quads are parralelograms
Proving quads are parralelogramsjbianco9910
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The document contains notes from a geometry drill on identifying parallelograms and determining values of x and y in parallelogram figures. It lists homework answers and a classwork assignment to identify parallelograms from figures and state the relevant definition or theorem, as well as an assignment to complete 15 problems showing work.Special parralelogrmas day 1
Special parralelogrmas day 1jbianco9910
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The document contains instructions and content for a geometry drill lesson. The objective is for students to discover properties of special parallelograms. The lesson includes definitions and examples of rectangles, rhombi, squares, and parallelograms. Students are asked to identify these shapes in diagrams and list their defining properties. They will also complete problems finding missing side lengths and plotting point coordinates to identify geometric objects.Polygons day 2 2015
Polygons day 2 2015jbianco9910
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1. The document provides geometry problems involving calculating interior and exterior angle measures of various regular and non-regular polygons. It asks students to find angle sums and individual angle measures for polygons with a specified number of sides.
2. Questions involve calculating interior and exterior angle sums and measures for polygons ranging from pentagons to 15-gons and up to polygons with 30 or 36 sides. Students are asked to determine properties of polygons like the number of sides if the interior angle sum is given.Parralelogram day 1 with answersupdated 
Parralelogram day 1 with answersupdated jbianco9910
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A parallelogram is a quadrilateral with two pairs of parallel sides. Students were assigned geometry homework to find the values of x and y in figures and provide proof of their answers, placing their homework and pen on the corner of their desk. They were asked to define a parallelogram.Parralelogram day 2 
Parralelogram day 2 jbianco9910
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The document provides instructions to complete geometry homework problems involving regular polygons, parallelograms, and finding missing angle measures. Students are asked to find: the number of sides of two regular polygons given interior and exterior angle measures; angle measures and that parallelogram EFGH is a parallelogram; angle measures x, y, and z for two parallelograms; and to show work for problems 8 through 10.Chapter 5 review drill
Chapter 5 review drilljbianco9910
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The document outlines a geometry drill session that reviews special right triangles and chapter 5 material. It provides several problems to find missing sides of right triangles given certain measurements, instructing students to show their work and use formulas. Problems include finding sides of triangles with angles of 30-60-90, 45-45-90, and solving for unknown sides using trigonometric ratios.Pytha drill into lines of concurrency day 2
Pytha drill into lines of concurrency day 2jbianco9910
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This document contains notes from a geometry lesson on using properties of perpendicular bisectors, angle bisectors, midsegments, and medians of a triangle. It includes three examples of using perpendicular bisectors and angle bisectors to find distances in triangles. It also poses a question about what geometric construction could be used to find a location equal distance from three given points X, Y, and Z, which represents finding the circumcenter of a triangle formed by those points.Pytha drill into lines of concurrency
Pytha drill into lines of concurrencyjbianco9910
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1) The document provides instructions for an honors geometry class, including having homework and a pen ready, an upcoming quiz on Friday, and drill problems to work on finding missing side lengths of triangles using properties like the Pythagorean theorem.
2) Students are asked to work with a partner using devices and packets to investigate triangle properties like perpendicular bisectors, angle bisectors, midsegments, and medians using geometry software.
3) Key vocabulary is defined, like what a midsegment of a triangle is and the midsegment theorem. Sample problems are provided applying these concepts.Triang inequality drill and review
Triang inequality drill and reviewjbianco9910
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Students were assigned homework involving triangles and the Pythagorean theorem due on February 8th. The objective of the assignment was for students to review the triangle inequality theorem and Pythagorean theorem as it relates to triangles.5004 pyth tring inequ and more
5004 pyth tring inequ and morejbianco9910
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Point D is located below point B. Point E is located to the right of point D. Point F is located below point C and to the left of point E.Chapter 5 unit f 003 review and more updated
Chapter 5 unit f 003 review and more updatedjbianco9910
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The document provides instructions and diagrams for 4 math problems involving angles and perpendicular bisectors. It aims to review skills around finding unknown angles and distances given information about perpendicular or angle bisectors. The final section models explaining geometric proofs through stating reasons and using theorems such as vertical angles, alternate interior angles, and angle-angle-side.5002 more with perp and angle bisector and cea
5002 more with perp and angle bisector and ceajbianco9910
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Students were instructed to place their homework from the previous Wednesday on their desk and turn in any unfinished work from the prior Friday. They were then told to copy geometry questions and self-assess their answers as a guess, unsure, or sure. The objective was to review properties of perpendicular bisectors, angle bisectors, and demonstrate what students have learned over the course of the year.5002 more with perp and angle bisector and cea updated
5002 more with perp and angle bisector and cea updatedjbianco9910
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Students were instructed to place their homework from the previous Wednesday on their desk and turn in any unfinished work from the prior Friday. They were then told to copy geometry questions and self-assess their answers as a guess, unsure, or sure. The objective was for students to review properties of perpendicular bisectors, angle bisectors, and demonstrate what they have learned in honors geometry over the course of the year.Chapter 5 unit f 001
Chapter 5 unit f 001jbianco9910
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This document provides definitions, examples, and practice problems related to perpendicular bisectors and angle bisectors. It begins by defining perpendicular bisectors as the locus of points equidistant from the endpoints of a segment. Angle bisectors are defined as the locus of points equidistant from the sides of an angle. Examples show applying theorems about perpendicular and angle bisectors to find missing measures. The document concludes with an example writing an equation for a perpendicular bisector in point-slope form.Similarity day 1 with activity
- 1. GT Geom Drill 3.17 1. Take out HW and a pen and put it on the corner of your desk. 2. Objective: STW write and simplify ratios and use proportions to solve problems. STW discover properties of similar polygons
- 2. GT Geometry Drill #3.17 2/28/14 Solve for X 1. x 3 2 3. 4 3 2 8 5 x 4. 1 2 4x 2. 2x 1 3 x 1 x 2 10 3x 2
- 3. GT Geometry Drill #3.17 2/28/14 5. The ratio of the side lengths of a triangle is 4:7:5, and its perimeter is 96 cm. What is the length of the shortest side? Let the side lengths be 4x, 7x, and 5x. Then 4x + 7x + 5x = 96 . After like terms are combined, 16x = 96. So x = 6. The length of the shortest side is 4x = 4(6) = 24 cm. 6. The ratio of the angle measures in a triangle is 1:6:13. What is the measure of each angle?
- 4. 7-1 Ratio and Proportion The ratio of the angle measures in a triangle is 1:6:13. What is the measure of each angle? x + y + z = 180° x + 6x + 13x = 180° 20x = 180° x = 9° y = 6x z = 13x y = 6(9°) z = 13(9°) y = 54° z = 117° Holt McDougal Geometry
- 5. 7-1 Ratio and Proportion ? Holt McDougal Geometry ? ?
- 6. 7-1 Ratio and Proportion 21 6 8 2 8 4 27 20 10 Holt McDougal Geometry 24 8 16 20 12 3 28 15 3 15 15 36 5 12 14
- 8. 7-1 Ratio and Proportion Example 4: Using Properties of Proportions Given that 18c = 24d, find the ratio of d to c in simplest form. 18c = 24d Divide both sides by 24c. Simplify. Holt McDougal Geometry
- 9. 7-1 Ratio and Proportion Check It Out! Example 4 Given that 16s = 20t, find the ratio t:s in simplest form. 16s = 20t Divide both sides by 20s. Simplify. Holt McDougal Geometry
- 10. 7-1 Ratio and Proportion Example 5: Problem-Solving Application Marta is making a scale drawing of her bedroom. Her rectangular room is 12 feet wide and 15 feet long. On the scale drawing, the width of her room is 5 inches. What is the length? 1 Understand the Problem The answer will be the length of the room on the scale drawing. Holt McDougal Geometry
- 11. 7-1 Ratio and Proportion Example 5 Continued 2 Make a Plan Let x be the length of the room on the scale drawing. Write a proportion that compares the ratios of the width to the length. Holt McDougal Geometry
- 12. 7-1 Ratio and Proportion Example 5 Continued 3 Solve 5(15) = x(12.5) Cross Products Property 75 = 12.5x x=6 Simplify. Divide both sides by 12.5. The length of the room on the scale drawing is 6 inches. Holt McDougal Geometry
- 13. Agree or Disagree 1. If two figures are similar then they are congruent 2. If the ratios of the length of corresponding sides of two triangles are equal, then the triangles are congruent. 3. If triangles are similar then they have the same shape 4. If two triangles are congruent then each pair of corresponding angles are congruent. 5. If two angles of one triangle are congruent to corresponding angles of another triangle, then the triangles are similar
- 15. Figures that are similar (~) have the same shape but not necessarily the same size.
- 16. Two polygons are similar polygons if and only if their corresponding angles are congruent and their corresponding side lengths are proportional.
- 17. Proving Similar Triangles • Are the triangles similar? 15 12 20 16 18 24
- 19. Scale Factor The ratio of the lengths of two corresponding sides of similar polygons.