What additional information could be used to prove that the triangles are congruent using aas? check all that apply.

c ≅ q
cb ≅ qm
ac = 3.9cm and rq = 3.9cm
mc = 35° and mq = 35°
ab = 2.5cm and mq = 2.5cm

Answer  

The additional information could be used to prove that the triangles are congurent by AAS congurency property .

AC = 3.9cm and RQ = 3.9cm

and CB ≅ QM

Reason

In ΔABC and ΔQMR  

(1) ∠ M = ∠ B= 29 °

(2)∠ R = ∠ A = 116 °

(3) AC = 3.9cm and RQ = 3.9cm

Thus angles are congurent by the AAS congurence property.

Thus AC = 3.9cm and RQ = 3.9cm are used to prove that the triangles are congurent .

Also in

In ΔABC and ΔQMR  

(1) ∠ M = ∠ B= 29 °

(2)∠ R = ∠ A = 116 °

(3) CB ≅ QM

(Corresponding sides of the triangle as shown in the diagram)

Thus angles are congurent by the AAS congurence property.

Thus are CB ≅ QM used to prove that the triangles are congurent .

Hence proved

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