Question

Can the two triangles be proven congruent by SAS? Explain.Question 9 options:A) No, because the two triangles share a side.B) Yes, because ≅ , ∠B ≅ ∠D, and and are parallel.C) No, there's only one pair of congruent angles, ∠B ≅ ∠D, and one pair of congruent sides, ≅ .D) Yes, because ≅ , ∠B ≅ ∠D, and and are parallel.

Answer 1

From the given figure,

We can observe that,

$\begin{gathered} \angle B\cong\angle D(\text{Given)} \\ AB\cong CD(Since,\text{ it is a parallelogram)} \\ BC\cong DA(Since,\text{ it is a parallelogram)} \\ \Delta ABC\cong\Delta CDA \end{gathered}$

Hence, yes, the two triangles can be proven congruent by SAS.