The coordinate plane is an important tool to help you navigate and keep track of the locations of objects.

Coordinates are pairs of numbers that describe the exact locations of points in the coordinate plane.

A rotation in the coordinate plane is a transformation that turns a figure about a fixed point, known as the center of rotation.

Mathagon

90-Degree Rotation about the Origin

180-Degree Rotation about the Origin

270-degree rotation about the origin 

Rotation Tricks

How Do Coordinates Change after a 90-Degree Rotation about the Origin?

90-Degree rotations about the origin can be performed directly without needing to draw a coordinate plane. This video shows how, and explains why this works. 

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How Do Coordinates Change after a 180-Degree Rotation about the Origin?

A 180-Degree rotation about the origin of a point can be found simply by flipping the signs of both coordinates. To see why this works watch this video.

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How do coordinates change after a 270-degree rotation about the origin? 

A 270-degree rotation about the origin is the same as 90-degree rotation in the other direction. This video shows examples of how to use this fact.

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