IXL | Dilations: graph the image

Graph the image of

△

after a dilation with a scale factor of

centered at the origin.

Coordinate plane graph with 4 quadrants, x-axis coordinates from -10 to 10, y-axis coordinates from -10 to 10. The following data are shown. Point (-10, 10). Point (0, 10). Point (-5, -10).

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Learn with an example

question

Graph the image of

△

after a dilation with a scale factor of 2, 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

-coordinates

by the scale factor.

Multiply the coordinates of point

(

–

)

by 2. The image is

(

–

)

Now multiply the coordinates of point

(

)

by 2. The image is

(

)

Now multiply the coordinates of point

(

–

)

by 2. The image is

(

–

)

The dilated points form a triangle similar to

△

Looking for more? Try these:

Lesson: Dilations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

R.3Graph points on a coordinate plane

Lesson: Dilations

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