Question

By applying ASA congruence rule, you have to establish that ∆RQP≅∆CAB. It is given that ∠R=∠Cand ∠P=∠B.What additional information is needed to establish the congruence?
a)∠Q = ∠A
b)RQ = CA
c)QP = AB
d)RP = CB

Answer 1

Given BC=RP

And ΔABC≅ΔQPR (By ASA congruence rule)

Since it is ASA congruence rule,

we need

Angle

Side

Angle

Here, the side is BC=RP.

So, the Angle on another side of it in both of those triangles  should be equal

So,∠A=∠Q

Therefore, for another angle we need additional information on the following conditions:

∠B=∠R

∠C=∠P