Question

Which triangles are congruent by ASA?

Answer 1

triangle ADC is congruent to triangle EBC (2nd choice)

Explanation:

DC is congruent to BC

<ADC is congruent to <EBC

<C is congruent to <C

By ASA, triangle ADC is congruent to triangle EBC.

Answer 2

Side BC is congruent to side DC. (That's what the hash marks mean.) Angle C is congruent with itself, and the right angles at B and D are all congruent.

Thus, you want to choose triangle names that show BC congruent to DC. The appropriate selection is the second one ...
∆ADC ≅ ∆EBC