Question

What additional information is needed to show that △ABC ≅ △DEF by ASA?There are two right angle triangles, triangle ABC and Triangle EDF. Angle BAC is congruent to angle EDF, angle ABC is congruent to angle DEF.

Answer 1

For the triangle congruence postulate ASA to apply between two triangles.

The corresponding angles should be congruent and the side between them should be congruent too:

If the corresponding angles for each triangle are equal:

∠A=∠D

∠B=∠E

The side that links both angles in each triangle should be equal to:

Angles ∠A and ∠B share the leg AB

Angles ∠D and ∠E share the leg DE

For the postulate Angle-Side-Angle it must apply that these sides are equal: AB=DE

The correct option is A.