Question

Given that R is equidistant from U and S, what can you conclude about angles UTR and STR?(picture below, medal will be given)

A.
The angles total 90 degrees.
B.
The angles total 180 degrees.
C.
The angles are congruent.
D.
The angles are angle bisectors.

Answer 1

c, know why?

Answer 2

no @pgpilot326

Answer 3

the triangles UTR and STR are congruent. You can prove this using the HL (hypotenuese leg) congruence theorem for right angles.
you're given that the legs are congruent (UR and SR have tickmacks), right angles are congruent and the line segment TR is common to both triangles and is the hypoteneuse for each.
Then by CPCTC, angles UTR and STR are congruent

Answer 4

ah thanks for explaining it (: @pgpilot326