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

Answer 1

Answer:

AngleC ≅ AngleQ

CB ≅ QM

so a and b

Step-by-step explanation:

i just took it on edgenuity

Answer 2

Answer:

Therefore, the two options for triangles to be congruent using AAS are

1. BC ≅ MQ       (Additional information)

2. AC ≅ RQ       (Additional information)

Step-by-step explanation:

Given:

∠CAB =∠MRQ = 29°

∠ABC = ∠RMQ = 116°

To Prove:

Δ ABC ≅ ΔRMQ  by AAS congruence test which additional information is required

Proof:

Case 1.

In  Δ ABC and Δ RMQ

∠CAB =∠MRQ = 29°      ……….{Given}

∠ABC = ∠RMQ = 116°     ..……..{Given}

BC ≅ MQ                        ……….{Additional information required}

Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}

Case 2.

In  Δ ABC and Δ RMQ

∠CAB =∠MRQ = 29°      ……….{Given}

∠ABC = ∠RMQ = 116°     ..……..{Given}

AC ≅ RQ                        ……….{Additional information required}

Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}

Therefore, the two options for triangles to be congruent using AAS are

1. BC ≅ MQ       (Additional information)

2. AC ≅ RQ       (Additional information)