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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 PQRS to figure KLMN?

1 answer

To find the scale factor of figure PQRS to figure KLMN, we can use the ratio of corresponding side lengths from the two figures.

The scale factor is given by:

Scale factor = Corresponding side length in PQRS / Corresponding side length in KLMN

Scale factor = RS / MN

Scale factor = 14 cm / 7 cm

Scale factor = 2

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