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:

The SAS (Side - Angle - Side) congruence criterion requires that the congruent angle be the included angle between the two pairs of congruent sides. Here, the given congruent angle $\angle X=\angle C$ is not the included angle between the given congruent sides $\overline{WX}=\overline{BC}$ and $\overline{WY}=\overline{BD}$.

Answer:

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