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G-SRT.5 Warmup M2-050-A04-V01

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

Use congruent triangles to find a missing side or angle measure

Problem

Triangle \(ABC\) is congruent to triangle \(DEF\), and \(AB=7\). What is the length of \(DE\)?

Unworked triangle geometry showing exactly the supplied side, angle, scale, or context evidence. Open full size
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What this problem is really about

The ordered congruence statement, rather than the drawing’s orientation, determines which parts correspond. We’ll decode the vertex mapping, map the requested side by both endpoints, invoke corresponding parts of congruent triangles, and transfer the known measure to that partner.

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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
Use congruent triangles to find a missing side or angle measure