Question

Tell which sides and angle of the traingle are congruent

Answer 1

∠R≅∠T and side RS ≅ TS

This is true beaded off the Converse Isosceles Triangle Theorem.

It is given that angles R and T are congruent, indicated by the angle measure symbols. By the Converse Isosceles Triangle Theorem, if a triangle has two congruent base angles, then the sides opposite of the base angles are congruent.

By this theorem, because we have two congruent angles at a base of the triangle, the two adjacent sides (or sides opposite those angles) are congruent. Hence why sides RS and TS are congruent.

Answer 2

∡R and ∡T
Sides RS and TS

Explanation:

Since it's given that ∡R and ∡T are both acute angles, and there aren't any markers on the angle indicators, this lets us know that they're both congruent. Since these angles are congruent, the distance between them and S will be congruent as well.