Question

What additional information could be used to prove that the triangles are congruent using AAS or ASA? Check all that apply.

Answer 1

ASA Postulate (Angle-Side-Angle)

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

You have that ∠C and ∠Q are congruent. In order to use ASA Postulate, you should have:

1. ∠B and ∠P are congruent and BC=PQ (choice 1)

2. ∠A and ∠T are congruent and AC=TQ (choice 2)

AAS Postulate (Angle-Angle-Side)

If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

In order to use AAS Postulate, you should have:

1. ∠A and ∠T are congruent and BC=PQ (choice 4);

2. ∠B and ∠P are congruent and AC=TQ;

Answer: correct options are 1, 2, 4.

Answer 2

Answer:

Step-by-step explanation:

1 2 and 4