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G-SRT.5 Warmup M2-050-A03-V01

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

Decide whether congruence or similarity is appropriate

Problem

Based on \(\text{all}~\text{corresponding}~\text{sides}\) being equal, what is the strongest relationship you can conclude?

Unworked triangles ABC and DEF with matching equality marks on AB and DE, BC and EF, and AC and DF; no angle marks, criterion, or relationship conclusion is shown. Open full size
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What this problem is really about

When every corresponding side is exactly equal, the evidence supports more than proportional shape. We’ll distinguish equality from a common ratio, apply the three-side congruence criterion, relate congruence to the scale-factor-one case of similarity, and report the strongest justified classification.

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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
Decide whether congruence or similarity is appropriate