Question

if ∠x ≅ ∠d, ∠w ≅ ∠f, ∠y ≅ ∠e, (overline{xy}) ≅ (overline{de}), (overline{yw}) ≅ (overline{ef}), and (overline{wx}) ≅ (overline{fd}), which shows a correct congruence statement? (1 point) △xyw ≅ △def △wxy ≅ △def △wxy ≅ △fed △xyw ≅ △fde

Explanation:

Step1: Match corresponding vertices

Given $\angle X\cong\angle D$, $\angle W\cong\angle F$, $\angle Y\cong\angle E$, $\overline{XY}\cong\overline{DE}$, $\overline{YW}\cong\overline{EF}$, $\overline{WX}\cong\overline{FD}$. The vertices of the first - triangle should be matched with the vertices of the second - triangle in the order of congruent angles and sides. So, the correct congruence statement has $X$ corresponding to $D$, $Y$ corresponding to $E$, and $W$ corresponding to $F$.

Answer:

A. $\triangle XYW\cong\triangle DEF$