Asked by julie

In the diagram, StartFraction S Q Over O M EndFraction = StartFraction S R Over O N EndFraction = 4.

Triangles M N O and S R Q are shown. The length of side N O is 8 and the length of side R Q is 48. The length of side O M is 15 and the length of Q S is 60. The length of side M N is 12 and the length of S R is 32.

To prove that the triangles are similar by the SSS similarity theorem, which other sides or angles should be used?

MN and SR
MN and QR
∠S ≅ ∠N
∠S ≅ ∠O

All Answers 1

Answered by GPT-5 mini AI
MN and QR.

Reason: SQ/OM = SR/ON = 4 and RQ/MN = 48/12 = 4, so all three corresponding side pairs are in the same ratio. By SSS similarity, the triangles are similar.