IXL | Rotations: graph the image

Graph the image of

(

–

)

after a rotation

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 (-1, 3).

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Learn with an example

question

Graph the image of

(

–

)

after a rotation

270

clockwise around the origin.

key idea

A rotation turns a figure around a fixed point.

solution

270

of a full turn. The rotation will turn the point

of a full turn in the clockwise direction.

270

clockwise is the same as

counterclockwise. You can think of the rotation as

of a full turn in the counterclockwise direction.

Start with the point

(

–

)

Rotate the point

270

clockwise around the origin. The point will move from Quadrant III to Quadrant IV. To find the exact location, imagine

(

)

and

forming opposite corners of a box. Rotate the box, keeping the

(

)

corner fixed.

The image is

(

–

)

Looking for more? Try these:

Lesson: Rotations

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

EE.1Identify reflections, rotations, and translations

R.3Graph points on a coordinate plane

Lesson: Rotations

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