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G-SRT.3 Core M2-048-R03-V04

Use similarity transformations to establish the AA similarity criterion.

Use parallel lines to establish AA similarity

Problem

Use parallel lines \(\ell~\) and \(m\) in the supplied configuration to compare triangles \(XAB\) and \(XCD\). Name \(\text{two}~\text{corresponding}-\angle~\text{pairs}\), map the vertices consistently, and write the ordered similarity statement using \(AA\).

Parallel-line proof reference: l and m are parallel, rays originate at X, X A C are collinear, and X B D are collinear, without a contradictory diagram. 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
Use parallel lines to establish AA similarity