Question

Write a similarity statement for the two polygons and give the scale factor.

Line KL is 10, line LM is 6, line MN is 8, line NK is 14.
Line QR is 5, line RS is 3, line ST is 4, and line TQ is 7.
A) Triangle KLM ~ Triangle QRS, Scale factor: 2
B) Triangle KLN ~ Triangle STQ, Scale factor: 3
C) Triangle MNL ~ Triangle RSQ, Scale factor: 1.5
D) Triangle KLM ~ Triangle QRS, Scale factor: 4

Answer 1

The similarity statement for the two polygons is Triangle KLM ~ Triangle QRS with a scale factor of 2.

Step-by-step explanation:

The correct answer is A) Triangle KLM ~ Triangle QRS, Scale factor: 2.

To determine the similarity between the polygons, we need to compare the ratios of their corresponding side lengths. In this case, the ratio between the corresponding side lengths of triangles KLM and QRS is 10:5, 6:3, and 8:4. Simplifying these ratios gives us 2:1, which means the scale factor is 2.

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