Question

In ΔRST shown below, segment SU is an altitude:

http://prnt.sc/di55yo

Which of the following is a justification used while proving the similarity of triangles ΔRUS and ΔSUT?
Transitive Property of Equality
Addition Property of Equality
Definition of Supplementary Angles
Definition of Congruence

Answer 1

by congruence of angles they are show to be similar because both triangles have a 90 degree angle those are congruent, they have a second angle T both have in common is congruent and the third angle by the sums of angles of a triangle is also congruent
therefore by AAA theorem they are similar
http://mathworld.wolfram.com/AAATheorem.html

Answer 2

C?

Answer 3

Definition of congruence. to be short is used to show that all angles are congruent and using the AAA theorem they are shown to be similar. So the definition of congruence to be short