Question

he triangles below are similar.

Triangle X Y Z. Side X Z has a length of 12, Z Y is 16, Y X is 14. Triangle R Q S. Side R Q is 3.5, Q S is 4, S R is 3.

Which similarity statement expresses the relationship between the two triangles?
Triangle X Y Z is similar to Triangle Q R S
Triangle X Y Z is similar to Triangle R Q S
Triangle Z X Y is similar to triangle Q S R
Triangle Z X Y is similar to triangle Q R S

Answer 1

Triangle X Y Z is similar to Triangle R Q S.

Reason: 14/3.5 = 16/4 = 12/3 = 4, so XY corresponds to RQ, YZ to QS, and ZX to SR. Thus X↔R, Y↔Q, Z↔S, giving XYZ ~ RQS.