Congruent shapes have equal corresponding sides and angles.
The congruence theorems that can be used to prove [tex]\triangle ABR \cong \triangle ACR[/tex] are HL, SAS, and SSS
[tex]\triangle ABR \cong \triangle ACR[/tex] means that, the triangles are congruent.
From the attached figure, we have the following congruent sides and angle:
- AB and AC --- Side
- BR and CR --- Side
- AR and AR --- Side (Hypotenuse Leg)
- Angle C and Angle B --- angle
The above highlights mean that the following theorems can be used to prove that the triangles are congruent:
HL, SAS, and SSS
Read more about congruent triangles at:
https://brainly.com/question/11329400
