Rotations on the Coordinate Plane. Horizontal- left and right.

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Presentation transcript:

Rotations on the Coordinate Plane

Horizontal- left and right

Vertical- up and down

A ROTATION of a geometric figure is the turn of the figure around a fixed point.

Clockwise used sometimes

Counter-clockwise used most of the time

90  a quarter of a turn

180  A straight angle

Rotate the figure clockwise 90  around the origin. (The origin is the center.) A B C B C A

A B C D D CB A Rotate the figure 90  counter-clockwise around the origin.

A BC A B C Rotate the figure 180  counterclockwise around the origin.

Rotate the figure 180  clockwise around the origin. AB C D C B D A

90˚ Rotation The general rule for a 90˚ rotation about the origin is: (X, Y)  (Y, - X). Where you switch the x and y coordinates and multiply the y by -1.

180˚ Rotation The general rule for a 180˚ rotation about the origin is: (X, Y)  (-X, - Y). You multiply each coordinate by -1.

270˚ Rotation AKA 90 ˚ Counterclockwise The general rule for a 270˚ rotation about the origin is: (X, Y)  (-Y, X) Where you switch your x and y coordinate and multiply the x by -1.