Question

Make a two-column proof showing statements and reasons to prove that triangle PRQ is similar to triangle PQS.

Answer 1

It is similar, because.

PQS is similar to PQR because, it's 1:2

Answer 2

and because PS = SR. And QS is the angle bisector of PQR

Answer 3

And PQ is a shared segment between the two?

Answer 4

angle QPR and QPS are congruent since its the same angle
angle PQS and PRQ are congruent since all 30 degree angles are = to 30 degree angles
triangle QPR and QPS = 180 by definition of a triangle
angle PQR = angle PSQ since both other angles are congruent this has to be congruent
triangle QPR and QPS are similar since all three angles are the same

Answer 5

you have to clean it up by using symbols, and i hope i didnt make a mistake