Question

In triangle rst, with segment su drawn from vertex s and intersecting side rt, which of the following is a justification used while proving the similarity of triangles rus and sut?

1) transitive property of equality
2) addition property of equality
3) definition of supplementary angles
4) definition of congruence

Answer 1

The justification used while proving the similarity of triangles rus and sut is the definition of congruence.

Step-by-step explanation:

While proving the similarity of triangles rus and sut, the justification used is the definition of congruence. In order to prove the similarity, we need to show that corresponding angles of the two triangles are congruent and corresponding sides are proportional. This is accomplished by applying the definition of congruence which states that if two objects have the same size and shape, they are congruent.