Question

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?

Answer 1

To prove the similarity of triangles MNO and SRQ, we compare the ratios of their corresponding sides.

Step-by-step explanation:

To prove that triangles MNO and SRQ are similar by the SSS similarity theorem, we need to show that the ratios of their corresponding sides are equal.

Given:

• NO = 8
• RQ = 48
• OM = 15
• QS = 60
• MN = 12
• SR = 32

We can compare the ratios of corresponding sides:

• Ratio of NO to SR: NO/SR = 8/32 = 1/4
• Ratio of OM to QS: OM/QS = 15/60 = 1/4
• Ratio of MN to RQ: MN/RQ = 12/48 = 1/4

Since all three ratios are equal, we can conclude that the triangles MNO and SRQ are similar by the SSS similarity theorem.

Answer 2

MN and QR

Step-by-step explanation: