Question

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

Explanation:

Step1: Understand translation property

Translation is a rigid transformation. It means the shape and size of the figure do not change. So, \(\triangle CDE\cong\triangle C'D'E'\).

Step2: Check vertex - correspondence

In \(\triangle DCE\), vertices are \(D\), \(C\), \(E\). In \(\triangle D'C'E'\), vertices are \(D'\), \(C'\), \(E'\) which are the images of \(D\), \(C\), \(E\) after translation.

Answer:

\(\triangle DCE\cong\triangle D'C'E'\)