IXL | Scaled polygons: find the scale factor

Parallelogram

is a scaled copy of parallelogram

What scale factor takes parallelogram

to parallelogram

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Learn with an example

Pentagon

is a scaled copy of pentagon

What scale factor takes pentagon

to pentagon

A scaled copy of a figure has the same shape as the figure but is a different size.

The angle measures of a scaled copy are equal to the corresponding angle measures of the figure.
The side lengths of a scaled copy can be found by multiplying the corresponding side lengths in the figure by the same number. This number is called the scale
factor.

To find the scale factor from pentagon

to pentagon

first identify a pair of corresponding sides.

You know that 20 times the scale factor is equal to 15. Write and solve an equation for the scale factor,

Divide both sides by 20

Simplify

So, the scale factor is

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