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Given: Line A R bisects ∠BAC; AB = AC

Triangle A B C is shown. Point R is at the middle of the triangle. Lines are drawn from point R to each of the points of the triangle. Angles B A R and R A C are congruent. Sides A B and A C are congruent.

Which congruence theorem can be used to prove ΔABR ≅ ΔACR?

AAS
SSS
ASA
SAS

Respuesta :

The ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

The missing diagram is attched with the answer.

What is a Triangle ?

A triangle is a polygon with three sides , three vertices and three angles.

SAS will be used to prove the congruence of ΔABR ≅ ΔACR

In both the triangle we have a common side , AR

AB = AC (given)

∠ B A R =  ∠R A C ( given equal)

So as the two side and the included angle is equal

Therefore the ΔABR ≅ ΔACR are congruent by SAS theorem

Option D is the correct answer.

To know more about Triangle

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viven619

Answer: Option 4 or D. SAS

Step-by-step explanation:  

Which congruence theorem can be used to prove ΔABR ≅ ΔACR?

D. SAS

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