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G-SRT.3 Core M2-048-R05-V04

Use similarity transformations to establish the AA similarity criterion.

Establish AA similarity for right triangles

Problem

Compare triangles \(ABC\) and \(DBA\). Pair right angles \(A\) and \(D\), identify the equal angles at \(B\) formed with the shared ray, derive the final vertex mapping, and write the ordered similarity statement using \(AA\).

Unworked right triangle ABC with right angle at A and altitude AD perpendicular to hypotenuse BC, creating triangle DBA; angle B is shared, while the ordered AA conclusion is withheld. Open full size
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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
Establish AA similarity for right triangles