G-SRT.B.5
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Example Problems
Polygon Y has an area of 11 square units. Celia drew a scaled version of Polygon Y using a scale factor of 3 and labeled it Polygon Z.
What is the area of Polygon Z?
What is the area of Polygon Z?
Polygon V has an area of square unit. Jun-seo drew a scaled version of Polygon V using a scale factor of and labeled it Polygon W.
What is the area of Polygon W?
What is the area of Polygon W?
Polygon O has an area of . Hana drew a scaled version of Polygon O using a scale factor of and labeled it Polygon P. What is the area of Polygon P?
Khan Academy ResourcesTriangle similarity reviewTriangle congruence reviewDetermine congruent trianglesFind angles in congruent trianglesSolve triangles: angle bisector theoremDetermine similar triangles: AnglesSpecial right trianglesDetermine similar triangles: SSSSolve similar triangles (basic)Solve similar triangles (advanced)Use similar trianglesProve triangle similarityJustify constructionsUse ratios in right trianglesFind angles in isosceles trianglesProve triangle propertiesProve parallelogram propertiesProve triangle congruenceDetermining congruent trianglesGeometry proof problem: congruent segmentsGeometry proof problem: midpointIsosceles & equilateral triangles problemsFinding angles in isosceles triangles (example 2)Finding angles in isosceles trianglesCorresponding angles in congruent trianglesTriangle similarity postulates/criteriaSolving similar trianglesDetermining similar trianglesSolving similar triangles: same side plays different rolesChallenging similarity problemUsing similar & congruent triangles30-60-90 triangle example problemUsing the angle bisector theoremGeometry proof problem: squared circleProving the SAS triangle congruence criterion using transformationsProving the SSS triangle congruence criterion using transformationsCalculating angle measures to verify congruenceGeometry word problem: Earth & Moon radiiGeometry word problem: a perfect pool shotProving the ASA and AAS triangle congruence criteria using transformationsProving triangle congruenceGeometry word problem: the golden ratio

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