Can you conclude the triangles are similar by \(AA\) from this evidence? \(\text{Both}~\text{triangles}\) are right triangles, and \(\text{one}~\text{pair}~\text{of}~\text{acute}~\text{corresponding}~\text{angles}\) is congruent.

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No, you need at least one pair of corresponding side lengths before you can prove the triangles are similar.

No, one angle pair is still insufficient because the acute angles are the only pair actually given.

No, right triangles are not automatically similar, so AA does not apply here.

Yes, the triangles are similar by AA because both right angles match and one pair of corresponding acute angles is congruent.

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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