Question

triangle cde is translated down and to the right, forming triangle cde. which congruency statement is correct? △dce ≅ △dec △dce ≅ △dce △edc ≅ △cde △edc ≅ △ced

Explanation:

Step1: Understand the translation property

Translation is a rigid transformation, so \(\triangle CDE\cong\triangle C'D'E'\). The order of the vertices in the congruence statement should correspond.

Step2: Match the vertices

In \(\triangle EDC\), vertex \(E\) corresponds to \(E'\), vertex \(D\) corresponds to \(D'\), and vertex \(C\) corresponds to \(C'\). So \(\triangle EDC\cong\triangle E'D'C'\) (which is the same as \(\triangle EDC\cong\triangle C'E'D'\) since the order of vertices in a triangle congruence statement can be cyclically permuted as long as the correspondence is correct).

Answer:

\(\triangle EDC\cong\triangle C'E'D'\) (the last option)