Question

Given: bisects ∠BAC; AB = AC Which congruence theorem can be used to prove △ABR ≅ △ACR?

a. AAS
b. SSS
c.ASA
d.SAs

Answer 1

The answer is SAS

Explanation:

I got it right on edge

Answer 2

Answer: SAS

Explanation:

Here ABC is a triangle, In which angle BAC is bisected by line AR where,
`R\in BC` .

Thus in triangles ABR and ACR,

AB= AC ( given)

Therefore
`AB\cong AC`

`\angle BAR\cong \angle CAR` ( by the property of angle bisector)

And,
`AR\cong AR` (reflexive)

Thus by SAS postulate,

△ABR ≅ △ACR.

Therefore, Option D is correct.