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?
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.