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G-SRT.5 Warmup M2-050-A05-V04

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

Use similar triangles to find a missing side or angle measure

Problem

Use triangle similarity to find \(x\). \(\text{Two}~\text{similar}~\text{triangles}\) have a scale factor of \(4\) from the smaller triangle to the larger triangle. A side of length \(8\) on the smaller triangle corresponds to side \(x\) on the larger triangle.

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
Use similar triangles to find a missing side or angle measure