IXL | Rotations: graph the image

Graph the image of

(

–

)

after a rotation

180

clockwise around 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 (0, -2).

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Learn with an example

question

Graph the image of

(

–

)

after a rotation

180

clockwise around the origin.

key idea

A rotation turns a figure around a fixed point.

solution

180

of a full turn. The rotation will turn the point

of a full turn in the clockwise direction.

Start with the point

(

–

)

Rotate the point

180

clockwise around the origin. The point will move from the negative

y-axis

to the positive

y-axis.

To find the exact location, imagine

(

)

and

forming two ends of a line segment. Rotate the line segment, keeping

(

)

fixed.

The image is

(

)

Looking for more? Try these:

Lesson: Rotations

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Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

R.1Identify reflections, rotations, and translations

R.3Graph points on a coordinate plane

Lesson: Rotations

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