Problem preview
G-SRT.3 Warmup M2-048-A10-V01

Use similarity transformations to establish the AA similarity criterion.

Decide whether two triangles are similar by AA from angle evidence

Problem

Can you conclude the triangles are similar by \(AA\) from this evidence? \(\text{One}~\text{pair}~\text{of}~\text{congruent}~\text{angles}\) is given.

Big Picture

What this problem is really about

AA is a sufficiency test with a precise evidence threshold. We’ll count only the angle relationships actually proved, compare that count with the two-pair requirement, distinguish insufficient evidence from evidence of nonsimilarity, and state only what the single supplied pair can support.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.3
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Use similarity transformations to establish the AA similarity criterion.
Problem type
Decide whether two triangles are similar by AA from angle evidence