Problem preview

G-SRT.5 Warmup M2-050-A11-V03

Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.

Audit evidence separately for congruence and similarity

Problem

\(\text{One}~\text{pair}~\text{of}~\text{corresponding}~\text{angles}\) in \(\text{two}~\text{triangles}\) is congruent, with \(\text{no}~\text{other}~\text{evidence}\) supplied. State whether this guarantees congruence, similarity, \(\text{both}\), or neither, and compare it with the evidence required for \(AA\) similarity.

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One angle pair proves similarity by AA even without another angle pair.

One angle pair proves both congruence and similarity by AA.

One angle pair proves congruence by AAA.

One angle pair proves neither congruence nor similarity; AA similarity needs a second corresponding angle pair.

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Curriculum context

Course: Math II
Standard: G-SRT.5
Category: Geometry
Domain: Similarity, Right Triangles, and Trigonometry
Objective: Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.
Problem type: Audit evidence separately for congruence and similarity