IXL | Rotations: find the coordinates

The point

(

–

)

is rotated

180

clockwise around the origin. What are the coordinates of the resulting point,

ref_doc_title.

Learn with an example

question

The point

(

–

)

is rotated

270

counterclockwise around the origin. What are the coordinates of the resulting point,

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 counterclockwise direction.

270

counterclockwise is the same as

clockwise. You can think of the rotation as

of a full turn in the clockwise direction.

Start with the point

(

–

)

Rotate the point

270

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

(

)

and

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

(

)

corner fixed.

has coordinates

(

–

)

Looking for more? Try these:

Lesson: Rotations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

EE.8Rotations: graph the image

EE.1Identify reflections, rotations, and translations

M.1Coordinate plane review

Lesson: Rotations

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