Question

In the adjacent figure, $segAD\cong segEC$ Which additional information is needed to show that $△ABD$ and $△EBC$ will be congruent by $A-A-S$ test?

Answer 1

We have given that AD = EC. Also we have angles ABD and EBC equal since they are vertically opposite. Hence if any of the other corresponding pair of angles are given equal then the given triangles will be congruent by A-A-S