Use triangle congruence and similarity criteria to solve problems and prove geometric relationships.
Prove a geometric relationship after proving triangles congruent
Problem
After proving triangle \(ABC\) congruent to triangle \(DEF\), what conclusion can you make if the target statement is \(AB~=~DE\)?
Big Picture
What this problem is really about
CPCTC is a consequence used after triangle congruence has already been established. We’ll read the proved order, map the target side through its endpoints, apply corresponding-parts congruence to that pair, and translate segment congruence into equality of lengths.
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