Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.
Prove a geometric relationship after proving triangles similar
Problem
After proving \(\triangle~ABC\) is similar to \(\triangle~DEF\), what conclusion should you use when the target is a side ratio?
Big Picture
What this problem is really about
A side-ratio conclusion from similarity must preserve one triangle direction across every fraction. We’ll decode the ordered vertex map, list all three corresponding side pairs, place first-triangle over second-triangle consistently, and audit the chain for a single accidentally reversed ratio.
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