IXL - Dilations: find length, perimeter, and area (Geometry practice)

is shown on the graph below.

is dilated by a scale factor of 7 centered at the origin to create

What is the length of

Write your answer as a whole number or as a decimal rounded to the nearest tenth.

units

ref_doc_title.

Learn with an example

question

is shown on the graph below.

is dilated by a scale factor of

centered at point C to create

What is the length of

Write your answer as a whole number or as a decimal rounded to the nearest tenth.

units

key idea

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

solution

To find the length of

first plug the endpoints

(

–

)

and

(

–

)

into the distance formula to find the length of

(

–

)

(

–

)

(

–

(

–

)

(

–

(

–

)

(

)

(

)

225

234

Now, multiply BC by the scale factor,

to find

≈

10.2

Rounded to the nearest tenth, the length of

is 10.2

units.

Looking for more? Try these:

Lesson: Dilations

Lesson: Distance formula

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Teacher tools

Work it out

Not feeling ready yet? These can help:

I.1Dilations: graph the image

B.13Distance formula

Lesson: Dilations

Lesson: Distance formula

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