Question

what additional information could be used to prove that the triangles are congruent using aas? choose two correct answers.
ac = 3.9 cm and rq = 3.9 cm
ab = 2.5 cm and mq = 2.5 cm
cb ≅ qm
m∠c = 35° and m∠q = 35°

Explanation:

Step1: Identify angles in both triangles

In △ABC: ∠A=29°, ∠B=116°, so ∠C=180°-29°-116°=35°. In △RMQ: ∠R=29°, ∠M=116°, so ∠Q=35°. Thus, ∠A≅∠R, ∠B≅∠M, ∠C≅∠Q.

Step2: AAS requires two angles and non-included side

AAS needs 2 congruent angles and a corresponding non-included side. ∠A≅∠R (29°) and ∠B≅∠M (116°) are given. Non-included sides: AC (opposite ∠B) and RQ (opposite ∠M); CB (opposite ∠A) and QM (opposite ∠R).

Answer:

AC = 3.9 cm and RQ = 3.9 cm, CB ≅ QM