HOW DO YOU DO PROOFS ?

Question

Given RS is congruent to UT . RT is congruent to US

Prove triangle RST is congruent to UTS

Answer 1

In both triangles ST is a common side. We are given that the remaining sides of the two triangles are correspondingly of the same length. So the triangles are congruent (SSS) because corresponding sides are equal. The two triangles form a parallelogram, revealing that the angles are also equal (the common side ST is a transversal diagonal).