Question

Are the triangles congruent? Justify your answer.

Answer 1

yes they are.........

Answer 2

Yes triangles are congruent by SAS congruence rule.

Explanation :-

It is Given that

one side is equal to the corresponding side of the other ∆

:- AB = DC

One angle is equal to the corresponding angle of the other ∆.

:- |_ ABD = |_CDB

and one side is common.

:- BD = BD


So,

by SAS congruence rule ∆ ABD is congruent to ∆ CDB