Question

if ∠x≅∠d, ∠w≅∠f, ∠y≅∠e, (overline{xy}congoverline{de}), (overline{yw}congoverline{ef}), and (overline{wx}congoverline{fd}). which shows a correct congruence statement? (1 point)

o (\triangle xywcong\triangle def)

o (\triangle xywcong\triangle fde)

o (\triangle wxycong\triangle fed)

o (\triangle wxycong\triangle def)

Explanation:

Step1: Match corresponding vertices

When two triangles are congruent, the order of the vertices in the congruence statement must match the corresponding angles and sides. Given $\angle X\cong\angle D$, $\angle W\cong\angle F$, $\angle Y\cong\angle E$, $XY\cong DE$, $YW\cong EF$, and $WX\cong FD$. The vertices of the first - triangle are $X$, $Y$, $W$ and the corresponding vertices of the second - triangle are $D$, $E$, $F$ in that order.

Step2: Write congruence statement

The correct congruence statement is $\triangle XYW\cong\triangle DEF$ as the vertices are matched correctly according to the given congruences of angles and sides.

Answer:

$\triangle XYW\cong\triangle DEF$