Back to Establish AA similarity criterion — Problem 3 · Task Set 16

Exercises: Establish AA Similarity Criterion

Work through each section in order. Show your reasoning where indicated. For problems that ask you to determine similarity, identify the two angle pairs that allow you to apply AA.

Grade 9·20 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-srt-a-3

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Warm-Up: Review What You Know

These problems review skills you have already learned.

A dilation with center $O$ and scale factor $k = 3$ maps $\triangle PQR$ to $\triangle P'Q'R'$ . Which of the following is true?

$\angle P' = 3 \times \angle P$

$\angle P' = \angle P$ and $P'Q' = 3 \cdot PQ$

$\angle P' = \angle P$ and $P'Q' = PQ$

$P'Q' = 3 \cdot PQ$ and $\angle P' = \frac{1}{3} \angle P$