Question

By applying ASA congruence rule, it is to be established that $\Delta ABC\cong \Delta QRP$ and it is given that BC$=$RP. What additional information is needed to establish the congruence?

Answer 1

Given $BC=RP$

And $\Delta ABC\cong \Delta QPR$ (By ASA congruence rule)

Since it is ASA congruence rule,

we need

Angle

Side

Angle

Here, side is $BC=RP$.

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

So,$\angle A=\angle Q$

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

$\angle B=\angle R$

$\angle C=\angle P$