Question

consider δwxy and δbcd with ∠x ≅ ∠c, wx ≅ bc, and wy ≅ bd. can it be concluded that δwxy ≅ δbcd by sas? why or why not? no, because the third corresponding sides must also be given as congruent no, because the corresponding congruent angles listed are not the included angles no, because all corresponding angles must be given as congruent yes, because two corresponding sides and a corresponding angle are congruent

Explanation:

Step1: Recall SAS congruence criterion

The Side - Angle - Side (SAS) congruence criterion states that for two triangles to be congruent by SAS, two sides and the included angle of one triangle must be congruent to the corresponding two sides and included angle of the other triangle.

Step2: Analyze given information

In \(\triangle WXY\) and \(\triangle BCD\), we have \(\overline{WX}\cong\overline{BC}\), \(\overline{WY}\cong\overline{BD}\) and \(\angle X\cong\angle C\). But \(\angle X\) is not the included angle between \(\overline{WX}\) and \(\overline{WY}\), and \(\angle C\) is not the included angle between \(\overline{BC}\) and \(\overline{BD}\).

Answer:

no, because the corresponding congruent angles listed are not the included angles