Question

What additional information could be used to prove that the triangles are congruent using AAS or ASA? Select three options.

a. b≅p and BC ≅ PQ
b. ∠A≅∠T and AC = TQ = 3.2cm
c. ∠A≅∠T and b≅p
d. ∠A≅∠T and BC ≅ PQ
e. AC = TQ​ =3.2cm and CB= QP=2.2cm

Answer 1

To prove triangle congruence using AAS or ASA, we need certain conditions. The correct options from the given ones are ∠A ≅ ∠T and BC ≅ PQ, and AC = TQ = 3.2cm and CB = QP = 2.2cm.

Step-by-step explanation:

To prove that the triangles are congruent using AAS or ASA, we need to have the following conditions:

1. ∠A ≅ ∠T and BC ≅ PQ
2. ∠A ≅ ∠T and b ≅ p
3. AC = TQ = 3.2cm and CB = QP = 2.2cm

From the given options, the correct answers are:

1. ∠A ≅ ∠T and BC ≅ PQ (Option d)
2. AC = TQ = 3.2cm and CB = QP = 2.2cm (Option e)

These conditions satisfy the AAS and ASA criteria for triangle congruence.