Use rigid motions to show triangle congruence through corresponding sides and angles.
Use corresponding parts of congruent triangles
Problem
Given \(\triangle~ABC~\cong~\triangle~DEF\), find the missing measure: \(DE\) when \(AB=12\).
Big Picture
What this problem is really about
Before transferring a measure, decode the vertex order in the congruence statement. Map both endpoints of the known side to their partners in the other triangle, then use the rigid-motion consequence that corresponding sides of congruent figures have equal lengths.
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