All courses Geometry · G-SRT.5 35 of 57

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

Prove triangles congruent using a valid criterion

Problem

\(\text{Three}~\text{corresponding}~\text{side}~\text{pairs}\) in \(\text{two}~\text{triangles}\) are congruent, with \(\text{no}~\angle~\text{information}\) supplied. Name the congruence criterion this evidence satisfies and justify the match.

Unworked triangle geometry showing exactly the supplied side, angle, scale, or context evidence.

Your answer

Show answer choicesHide answer choices Work through the mathematics first, then compare your reasoning.Select the answer that matches your work.

A The criterion is AAS because once corresponding parts match, two angles and a side are enough to conclude congruence. B The criterion is SSS because the evidence gives three corresponding pairs of congruent sides and no angle information is needed. C The criterion is ASA because congruence tests usually depend on angle information along with one matching side. D The criterion is SAS because the evidence gives side congruence, so one angle is understood to go with the sides.

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Prove triangles congruent using a valid criterion

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Solution walkthrough

Inventory the evidence

Match evidence to criterion

Preserve the correspondence

State the conclusion

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