Question

Indicate the method you would use to prove the two triangles congruent. If no method applies, enter “none”.

Answer 1

We have to determine the congruence criteria which would prove that the given triangles are congruent.

Consider the triangles RSV and VTU

VR = VU (Given)

$\angle RSV = \angle VTU$ (Given)

$\angle SVR = \angle TVU$ (Given)

Hence, the triangles RSV and VTU are congruent by AAS congruence criteria.

As, if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent by AAS congruence criteria.

So, option 4 is the correct answer.