IA2.GR.A.2: Use similarity transformations to determine and justify triangle similarity. a. Determine whether two triangles are similar by identifying a sequence of similarity transformations (rotations, reflections, translations, and dilations) that relates one triangle onto another and aligns corresponding parts. b. Justify triangle similarity by explaining how similarity transformations establish that corresponding angles are congruent and corresponding sides are proportional.

Use similarity transformations to determine and justify triangle similarity. a. Determine whether two triangles are similar by identifying a sequence of similarity transformations (rotations, reflections, translations, and dilations) that relates one triangle onto another and aligns corresponding parts. b. Justify triangle similarity by explaining how similarity transformations establish that corresponding angles are congruent and corresponding sides are proportional.

Example Problems

What are the angle measures in a triangle whose three sides each have a length of

1

unit? Explain.

Find a different way to partition a

\text{regular hexagon}

into

8

\text{congruent figures}

.

Find a different way to partition a

\text{regular hexagon}

into

4

\text{congruent figures}

.

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