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G-SRT.5 Warmup M2-050-A01-V02

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

Prove triangles congruent using a valid criterion

Problem

\(\text{Two}~\text{corresponding}~\text{side}~\text{pairs}\) in \(\text{two}~\text{triangles}\) are congruent, and the angles included between those sides are congruent. Name the congruence criterion this evidence satisfies and justify the match.

Unworked triangle geometry showing exactly the supplied side, angle, scale, or context evidence. Open full size
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Four variants of this problem type
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
Prove triangles congruent using a valid criterion