Question

Triangles A B C and R M Q are shown. Angles C A B and M R Q are 29 degrees. Angles A B C and R M Q are 116 degrees.
What additional information could be used to prove that the triangles are congruent using AAS? Select two options.

AngleC ≅ AngleQ
CB ≅ QM
AC = 3.9cm and RQ = 3.9cm
mAngleC = 35° and mAngleQ = 35°
AB = 2.5cm and MQ = 2.5cm

Answer 1

Select:
- CB ≅ QM
- AC = 3.9 cm and RQ = 3.9 cm

Reason: ∠A ≅ ∠R (29°) and ∠B ≅ ∠M (116°) are already given. For AAS you need a corresponding non‑included side congruent; the non‑included sides are AC ↔ RQ and BC ↔ MQ.