Question

Can the triangles be proven congruent with the information given in the diagram? If so,state the theorem you would use.

Answer 1

yes

Step-by-step explanation:

AAS Congruence theorem says that if two triangles have 2 equal angles and one congruent side, then the triangles are congruent.

In this case, both triangles have right angles and the angles formed by the diagonal are congruent too. Additionally, the diagonal is congruent to itself. Therefore, the triangles of the figure are congruent by AAS.

So, the answer is yes.