Question

wx || yz. complete the proof that δw
1 wx || yz
2 wx ≅ yz
3 ∠wyz ≅ ∠xwy
4 wy ≅ wy
5

Explanation:

Step1: Recall the SAS (Side - Angle - Side) congruence criterion

The SAS congruence criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Identify the sides and angle for the criterion

We have \( \overline{WX}\cong\overline{YZ}\) (given as statement 2), \( \angle WYZ\cong\angle XWY\) (given as statement 3), and \( \overline{WY}\cong\overline{WY}\) (reflexive property, statement 4).

Answer:

\(\triangle WYZ\cong\triangle YWX\) (by the SAS congruence criterion)