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G-SRT.5 Warmup M2-050-A11-V04

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

Audit evidence separately for congruence and similarity

Problem

\(\text{Two}~\text{pairs}~\text{of}~\text{corresponding}~\text{sides}\) in \(\text{two}~\text{triangles}\) are proportional, with \(\text{no}~\angle~\text{information}\) supplied. State whether this guarantees congruence, similarity, \(\text{both}\), or neither, and identify the missing evidence needed by \(SSS\) or \(SAS\) similarity.

Neutral evidence reference identifying two pairs of corresponding proportional sides and no angle information, without a conclusion about sufficiency. 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
Audit evidence separately for congruence and similarity