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

Answer 1

To find the scale factor of figure KLMN to figure PQRS, we compare the corresponding side lengths of the two similar figures.

Scale factor = corresponding side length of PQRS / corresponding side length of KLMN

In this case, the corresponding sides are RS and MN. So the scale factor is:

Scale factor = RS / MN = 14 cm / 7 cm = 2

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