Question

Which congruency theorem can be used to prove that triangle abd is congruent to triangle dca

Answer 1

Answer:

SAS

Step-by-step explanation:

we know that

Triangles are congruent by SAS, if any pair of corresponding sides and their included angles are equal in both triangles

so

In this problem

we have that

the pair of corresponding sides AB with DC and AD with DA and their included angles  ∠ BAD with ∠CDA are equal

therefore

Triangle ABD is congruent with triangle DCA by SAS congruency theorem