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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† 
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† dsefdtgfgrsdgrdfh
Ìý
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† 3002 a more with parrallel lines and anglesupdated 10 22-13
3002 a more with parrallel lines and anglesupdated 10 22-13jbianco9910
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1. If x = 1 and y = 2008, the value of 1/x + 1/y is 105.85.
2. The document provides instructions for homework to be placed on the corner of a desk. It also contains objectives and a two-column proof regarding parallel lines cut by a transversal.Linear approximations and_differentials
Linear approximations and_differentialsTarun Gehlot
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The document discusses linear approximations and differentials. It explains that a linear approximation uses the tangent line at a point to approximate nearby values of a function. The linearization of a function f at a point a is the linear function L(x) = f(a) + f'(a)(x - a). Several examples are provided of finding the linearization of functions and using it to approximate values. Differentials are also introduced, where dy represents the change along the tangent line and ∆y represents the actual change in the function.
Proving quads are parralelograms
Proving quads are parralelogramsjbianco9910
Ìý
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.ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† 
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Ìý
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† dsefdtgfgrsdgrdfh
Ìý
ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† Maths activity 
Maths activity gilem488
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The document provides the 100m race times for two classes and asks five questions about analyzing and comparing the results between the classes. It lists the individual times for each student in each class, and gives the answers to the five questions, including: the average time for each class, which class was slower/faster, the range of times for each class, and the mode time for each class.2d 3d animation and Digital services from Vinformax and Creantt 
2d 3d animation and Digital services from Vinformax and Creantt Prabhu Venkatesh Subramanian
Ìý
This document summarizes the services of a creative company called Aviformax. It has production hubs in Stockholm, the US, UK and India. The company provides creative and visual design, pre-production, production and post-production services. It helps clients with 2D and 3D motion graphics, product visualization, visual branding and digital signage solutions. The document highlights the advantages of digital signage for branding, finance, operations and technical aspects. It also describes the company's content management system and data analytics dashboard tools.Math project
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1) The document provides steps to find the coordinates of the circumcenter of a triangle with vertices A(-4,0), B(2,6), and C(8,-4).
2) It finds the equations of the perpendicular bisectors of each side by calculating the midpoints and slopes to get the equations.
3) The intersections of the three perpendicular bisectors are calculated to find the circumcenter, which is determined to be (2.5,-0.5).Minkowski Sum on 2D geometry
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The document discusses the Minkowski sum, which is an operation that combines two sets in 2D geometry by translating one set along the border of the other. It provides examples of applying the Minkowski sum to polygons and discs. The Minkowski sum has applications in motion planning to determine if a moving object will collide with obstacles. It can be computed for convex polygons by taking every vertex combination, and for general polygons by decomposition or convolution methods.Congruent figures 2013
Congruent figures 2013jbianco9910
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The document provides information about congruent triangles:
- Two triangles are congruent if their corresponding sides are congruent and they have the same shape and size.
- Examples are provided to demonstrate using properties of congruent triangles to find missing angle measures and prove triangles are congruent by showing corresponding parts are equal.
- One example proves two triangles are congruent by showing bisectors of angles bisect the opposite sides, making corresponding parts congruent.114333628 irisan-kerucut
114333628 irisan-kerucuthafifa asiah
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The document discusses properties of parabolas, including their definition as the set of points equidistant from a focus point and directrix line. It presents the standard equation for a parPower series
Power seriesHARSH BHAVSAR
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A power series is an infinite series of the form Σcixi or Σci(x-a)i, where the cis are constants. It represents a "polynomial" with infinitely many terms that can be used to expand functions. Common power series include the Taylor series expansions of exponential, logarithmic, and other important functions. Power series are very useful for certain mathematical calculations.Deductivereasoning and bicond and algebraic proofs
Deductivereasoning and bicond and algebraic proofsjbianco9910
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1. The document discusses biconditional statements, conditional statements, and using deductive reasoning in geometry. It provides examples of identifying conditionals within biconditionals, writing definitions as biconditionals, and solving equations with justification in both algebra and geometry.
2. Key concepts covered include using properties of equality to write algebraic proofs, properties of congruence corresponding to properties of equality, and identifying properties of equality and congruence that justify statements.
3. Examples are provided of solving equations algebraically and geometrically with justification for each step, identifying conditionals within biconditionals, and writing definitions as biconditionals.Symmetry,rotation, reflection,translation
Symmetry,rotation, reflection,translationEbin Santy
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The document discusses different types of symmetry including lines of symmetry, reflection, rotation, and translation. It provides examples of these symmetries using shapes like hearts, flags, polygons and math symbols. Regular polygons are noted to have multiple lines of symmetry and there is a pattern to how many lines different regular polygons will have.Local linear approximation
Local linear approximationTarun Gehlot
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The document discusses local linear approximations, which provide a linear function that closely approximates a given non-linear function near a specific point. It defines the local linear approximation at a point x0 as f(x0) + f'(x0)(x - x0). Graphs and examples are provided to illustrate how the local linear approximation can be used to estimate function values close to x0. The concept of differentials is also introduced to estimate small changes in a function using its derivative. Examples demonstrate using differentials to approximate changes and estimate errors in computations involving measured values.
Transformations of functions
Transformations of functionsTarun Gehlot
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The document discusses transformations in geometry. It defines a geometric transformation as a bijective mapping between two geometries that maps points to points and lines to lines. Reflections, rotations, and translations are provided as examples of geometric transformations in Euclidean plane geometry. It is shown that reflections, rotations, and translations are isometries that preserve distance, angle measure, and area. The composition of transformations is also discussed, and it is shown that the composition of isometries is again an isometry.2002 more with transformations
2002 more with transformationsjbianco9910
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The document discusses reflections, translations, and rotations of geometric figures. It provides examples of reflecting a triangle across the x-axis, y-axis, and line y=x. It then discusses identifying reflections and translations from diagrams. Examples are given of translating a figure along a vector in the coordinate plane and rotating a triangle 180 degrees about the origin.Chapter 5 day 2
Chapter 5 day 2jbianco9910
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The document discusses various bisectors and segments related to triangles, including:
- The perpendicular bisectors and angle bisectors of a triangle are concurrent, intersecting at the circumcenter and incenter respectively.
- A triangle has three medians and three altitudes. The medians intersect at the centroid, while the altitudes intersect at the orthocenter.
- Key properties are discussed, such as the circumcenter theorem relating the circumcenter to triangle vertices, and the incenter theorem relating the incenter to triangle sides.
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.More Related Content
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This document summarizes the services of a creative company called Aviformax. It has production hubs in Stockholm, the US, UK and India. The company provides creative and visual design, pre-production, production and post-production services. It helps clients with 2D and 3D motion graphics, product visualization, visual branding and digital signage solutions. The document highlights the advantages of digital signage for branding, finance, operations and technical aspects. It also describes the company's content management system and data analytics dashboard tools.Math project
Math projectjnguyen20
Ìý
1) The document provides steps to find the coordinates of the circumcenter of a triangle with vertices A(-4,0), B(2,6), and C(8,-4).
2) It finds the equations of the perpendicular bisectors of each side by calculating the midpoints and slopes to get the equations.
3) The intersections of the three perpendicular bisectors are calculated to find the circumcenter, which is determined to be (2.5,-0.5).Minkowski Sum on 2D geometry
Minkowski Sum on 2D geometryClodéric Mars
Ìý
The document discusses the Minkowski sum, which is an operation that combines two sets in 2D geometry by translating one set along the border of the other. It provides examples of applying the Minkowski sum to polygons and discs. The Minkowski sum has applications in motion planning to determine if a moving object will collide with obstacles. It can be computed for convex polygons by taking every vertex combination, and for general polygons by decomposition or convolution methods.Congruent figures 2013
Congruent figures 2013jbianco9910
Ìý
The document provides information about congruent triangles:
- Two triangles are congruent if their corresponding sides are congruent and they have the same shape and size.
- Examples are provided to demonstrate using properties of congruent triangles to find missing angle measures and prove triangles are congruent by showing corresponding parts are equal.
- One example proves two triangles are congruent by showing bisectors of angles bisect the opposite sides, making corresponding parts congruent.114333628 irisan-kerucut
114333628 irisan-kerucuthafifa asiah
Ìý
The document discusses properties of parabolas, including their definition as the set of points equidistant from a focus point and directrix line. It presents the standard equation for a parPower series
Power seriesHARSH BHAVSAR
Ìý
A power series is an infinite series of the form Σcixi or Σci(x-a)i, where the cis are constants. It represents a "polynomial" with infinitely many terms that can be used to expand functions. Common power series include the Taylor series expansions of exponential, logarithmic, and other important functions. Power series are very useful for certain mathematical calculations.Deductivereasoning and bicond and algebraic proofs
Deductivereasoning and bicond and algebraic proofsjbianco9910
Ìý
1. The document discusses biconditional statements, conditional statements, and using deductive reasoning in geometry. It provides examples of identifying conditionals within biconditionals, writing definitions as biconditionals, and solving equations with justification in both algebra and geometry.
2. Key concepts covered include using properties of equality to write algebraic proofs, properties of congruence corresponding to properties of equality, and identifying properties of equality and congruence that justify statements.
3. Examples are provided of solving equations algebraically and geometrically with justification for each step, identifying conditionals within biconditionals, and writing definitions as biconditionals.Symmetry,rotation, reflection,translation
Symmetry,rotation, reflection,translationEbin Santy
Ìý
The document discusses different types of symmetry including lines of symmetry, reflection, rotation, and translation. It provides examples of these symmetries using shapes like hearts, flags, polygons and math symbols. Regular polygons are noted to have multiple lines of symmetry and there is a pattern to how many lines different regular polygons will have.Local linear approximation
Local linear approximationTarun Gehlot
Ìý
The document discusses local linear approximations, which provide a linear function that closely approximates a given non-linear function near a specific point. It defines the local linear approximation at a point x0 as f(x0) + f'(x0)(x - x0). Graphs and examples are provided to illustrate how the local linear approximation can be used to estimate function values close to x0. The concept of differentials is also introduced to estimate small changes in a function using its derivative. Examples demonstrate using differentials to approximate changes and estimate errors in computations involving measured values.Transformations of functions
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Ìý
The document discusses transformations in geometry. It defines a geometric transformation as a bijective mapping between two geometries that maps points to points and lines to lines. Reflections, rotations, and translations are provided as examples of geometric transformations in Euclidean plane geometry. It is shown that reflections, rotations, and translations are isometries that preserve distance, angle measure, and area. The composition of transformations is also discussed, and it is shown that the composition of isometries is again an isometry.2002 more with transformations
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Ìý
The document discusses reflections, translations, and rotations of geometric figures. It provides examples of reflecting a triangle across the x-axis, y-axis, and line y=x. It then discusses identifying reflections and translations from diagrams. Examples are given of translating a figure along a vector in the coordinate plane and rotating a triangle 180 degrees about the origin.Chapter 5 day 2
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The document discusses various bisectors and segments related to triangles, including:
- The perpendicular bisectors and angle bisectors of a triangle are concurrent, intersecting at the circumcenter and incenter respectively.
- A triangle has three medians and three altitudes. The medians intersect at the centroid, while the altitudes intersect at the orthocenter.
- Key properties are discussed, such as the circumcenter theorem relating the circumcenter to triangle vertices, and the incenter theorem relating the incenter to triangle sides.More from jbianco9910 (20)
Special parralelogrmas day 1
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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
Ìý
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
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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
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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
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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
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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
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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.
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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
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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
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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
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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
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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.Review day 2
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The document provides instructions for students to complete a geometry handout individually. It asks students to draw a segment 8 inches long labeled AB, draw a right angle from point A, mark off 6 inches from point A to point C to form a right triangle, and connect points B and C. It then asks students whether the resulting triangles would be congruent for everyone and why or why not. The document also states the objective is to review for a geometry test on Friday and includes blanks for stating geometry statements, reasons, and constructing proofs.Overlapping triangle drill
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This document provides lesson materials on isosceles and equilateral triangles including:
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- Properties and theorems regarding equilateral triangles.
- Examples proving triangles congruent using corresponding parts of congruent triangles (CPCTC).
- A lesson quiz to assess understanding of isosceles triangle properties and angle measures.Chapter4006more with proving traingle congruent
Chapter4006more with proving traingle congruentjbianco9910
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The document contains notes from a geometry class, including examples of proofs of triangle congruence using various postulates and theorems. Several triangle congruence proofs are shown using criteria such as ASA, SAS, and SSS. Key vocabulary terms like hypotenuse and legs are defined. The Pythagorean theorem and its formula are stated.Oliviamath problem
- 1. Olivia’s Math Problem     