Suppose triangle DEF = triangle WXY. Which choice below shows corresponding parts to congruent triangles that are congruent? Explain your answer.

angle E = angle X; DF = WY

see the explanation

Step-by-step explanation:

The options of the question are

(A) angle E = angle X; DF = XY

(B) angle D = angle Y; EF = XY

(C) angle E = angle X; DF = WY

(D) angle F = angle X; DE = WX

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

Triangles DEF and WXY are congruent

so

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

DE≅WX

EF≅XY

DF≅WY

Corresponding angles are named using a letter in the same position on either side of the congruence statement

∠D≅∠W

∠E≅∠X

∠F≅∠Y

therefore

angle E = angle X; DF = WY