Question

Triangle C D E is translated down and to the right to form triangle C prime D prime E prime.
Triangle CDE is translated down and to the right, forming triangle C'D'E'. Which congruency statement is correct?

ΔDCE ≅ ΔD'E'C'
ΔDCE ≅ ΔD'C'E'
ΔEDC ≅ ΔC'D'E'
ΔEDC ≅ ΔC'E'D'

Answer 1

ΔDCE ≅ ΔD'C'E'

Reason: A translation maps each vertex to its corresponding primed vertex (C→C', D→D', E→E'), so the triangle with vertices in the order D-C-E corresponds to D'-C'-E'.