IXL | Dilations: graph the image

Graph the image of

△

after a dilation with a scale factor of 3, 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 (-3, 0). Point (-3, 3). Point (2, -2).

ref_doc_title.

Learn with an example

question

Graph the image of

△

after a dilation with a scale factor of 3, 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 3. The image is

(

–

)

Now multiply the coordinates of point

(

–

)

by 3. The image is

(

–

)

Now multiply the coordinates of point

(

–

)

by 3. The image is

(

–

)

The dilated points form a triangle similar to

△

Looking for more? Try these:

Lesson: Dilations

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

R.3Graph points on a coordinate plane

Lesson: Dilations

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!