Question

what additional information could be used to prove that the triangles are congruent using aas or asa? choose three correct answers. ac = tq = 3.2 cm and cb = qp = 2.2 cm, ∠a ≅ ∠t and ∠b ≅ ∠p, ∠a ≅ ∠t and ac = tq = 3.2 cm, ∠a ≅ ∠t and bc ≅ pq

Explanation:

Step1: Identify given congruent angle

Assume ∠C ≅ ∠Q (marked equal in diagram).

Step2: Evaluate ASA/AAS conditions

For ASA/AAS, need 2 angles + included/non-included side with given ∠C≅∠Q.

Step3: Select valid options

• ∠A≅∠T & AC=TQ (ASA: ∠A, AC, ∠C ≅ ∠T, TQ, ∠Q).
• ∠A≅∠T & BC≅PQ (AAS: ∠A, ∠C, BC ≅ ∠T, ∠Q, PQ).
• ∠B≅∠P & CB=QP (AAS: ∠B, ∠C, CB ≅ ∠P, ∠Q, QP).

Answer:

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