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:

Translation is a rigid transformation, which means the shape and size of the triangle remain the same. So, the corresponding vertices of the original triangle \( \triangle EDC \) and the translated triangle \( \triangle C'E'D' \) are \( E
ightarrow C' \), \( D
ightarrow E' \), \( C
ightarrow D' \). When writing a congruency statement, the order of the vertices must correspond.

Answer:

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