IXL | Dilations: find the scale factor

The parallelogram

is a dilation of the parallelogram

What is the scale factor of the dilation?

Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

ref_doc_title.

Learn with an example

question

The rectangle

is a dilation of the rectangle

What is the scale factor of the dilation?

Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

key idea

The scale factor of a dilation is the ratio of lengths in the image after the dilation to the corresponding lengths in the original figure. It tells you how much the dilation enlarges or reduces the figure.

solution

To find the scale factor, first find the length of one side in the original rectangle. For example, you can find the length of

connects

(

)

and

(

–

)

It is 12 units long.

Now, find the length of the corresponding side in the image,

connects

(

)

and

(

–

)

It is 6 units long.

Next, write the ratio of the length in the image to the length in the original rectangle.

Last, simplify the fraction.

The scale factor is

Looking for more? Try these:

Lesson: Dilations

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

Dilations: find the coordinates

Lesson: Dilations

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!