Question

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

B ≅ P and BC ≅ PQ
A ≅ T and AC = TQ = 3.2cm
A ≅ T and B ≅ P
A ≅ T and BC ≅ PQ
AC = TQ = 3.2 cm and CB = QP = 2.2 cm

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

The options that apply as regards AAS or ASA Congruence postulates are;

∠B ≅ ∠P and BC ≅ PQ

∠A ≅ ∠T and AC = TQ = 3.2cm

∠A ≅ ∠T and BC ≅ PQ

Congruence Postulates

1) ASA congruence Postulate simply means Angle-Side-Angle. This means that If two angles and the included side of one triangle are congruent to the corresponding angles and side of another triangle, then we can say that both triangles are congruent.

We see from the diagram that ∠C and ∠Q are congruent.

Thus, for ASA Congruence to hold true, then;

BC = PQ and ∠A must be congruent to ∠T and so AC = TQ

2) AAS congruence Postulate simply means Angle-Angle-Side. This postulate states that If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another triangle, then we can say that both triangles are congruent.

Thus, for AAS Congruence postulate to hold true, then we can say that;

BC = PQ and  AC=TQ;

Read more about Congruence Postulates at; https://brainly.com/question/3168048