Figure KLMN and figure PQRS, shown below, are similar figures.

Question

If KN = 3 cm, MN = 7 cm, RS = 14 cm, and PS = 6 cm, what is the scale factor of figure KLMN to figure PQRS?
(2 points)
Responses
3
2
2/3
1/2

Answer 1

1/2

To find the scale factor of figure KLMN to figure PQRS, we can compare the lengths of corresponding sides.

Scale Factor = (length of corresponding side in figure PQRS) / (length of corresponding side in figure KLMN)

Scale Factor = RS / MN
Scale Factor = 14 / 7
Scale Factor = 2

Therefore, the scale factor of figure KLMN to figure PQRS is 2.