G-SRT.2
Given two figures, use the definition of similarity in terms of transformations to explain whether or not they are similar.
Example Problems
A sequence of transformations is described below.
1. A reflection over a line
2. A dilation about the point P
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A reflection over a line
2. A dilation about the point P
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
A sequence of transformations is described below.
1. A translation
2. A rotation about a point A
3. A reflection over a line
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A translation
2. A rotation about a point A
3. A reflection over a line
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
A sequence of transformations is described below.
1. A rotation about a point S
2. A dilation about the same point S
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A rotation about a point S
2. A dilation about the same point S
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
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 trianglesDilations: scale factorDilate trianglesProve triangle propertiesProve parallelogram propertiesSimilarity & transformationsProve triangle congruenceDetermining congruent trianglesGeometry proof problem: congruent segmentsGeometry proof problem: midpointFinding angles in isosceles triangles (example 2)Finding angles in isosceles trianglesCorresponding angles in congruent trianglesSolving 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 circleDilating shapes: expandingDilations: scale factorDilating shapes: shrinking by 1/2Calculating angle measures to verify congruenceGeometry word problem: Earth & Moon radiiGeometry word problem: a perfect pool shotProving triangle congruenceGeometry word problem: the golden ratioSimilar shapes & transformations

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