IXL | Dilations: find the coordinates

Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.

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question

Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.

key idea

A dilation enlarges or reduces a figure.

solution

The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the original figure.

This dilation is centered at the origin, so you can find the image by multiplying the

and

y-coordinates

by the scale factor.

Multiply the coordinates of point

(

–

)

by 4. The image is

(

–

)

Now multiply the coordinates of point

(

–

)

by 4. The image is

(

–

)

Now multiply the coordinates of points

(

)

and

(

–

)

by 4. The images are

(

)

and

(

–

)

The dilated points form a rectangle similar to

Write the coordinates of the vertices using arrow notation:

(

–

)

→

(

–

)

(

–

)

→

(

–

)

(

)

→

(

)

(

–

)

→

(

–

)

Looking for more? Try these:

Lesson: Dilations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

S.2Dilations: graph the image

O.1Coordinate plane review

Lesson: Dilations

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