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

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Presentation on theme: "Rotations on the Coordinate Plane. Horizontal- left and right."— Presentation transcript:

1 Rotations on the Coordinate Plane

2 Horizontal- left and right

3 Vertical- up and down

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

5 Clockwise used sometimes

6 Counter-clockwise used most of the time

7 90  a quarter of a turn

8 180  A straight angle

9 5 4 3 2 1 -5-4-3-2 12345 -2 -3 -4 -5 Rotate the figure clockwise 90  around the origin. (The origin is the center.) A B C B C A

10 5 4 3 2 1 -5-4-3-2 12345 -2 -3 -4 -5 A B C D D CB A Rotate the figure 90  counter-clockwise around the origin.

11 5 4 3 2 1 -5-4-3-2 12345 -2 -3 -4 -5 A BC A B C Rotate the figure 180  counter- clockwise around the origin.

12 5 4 3 2 1 -5-4-3-2 12345 -2 -3 -4 -5 Rotate the figure 180  clockwise around the origin. AB C D C B D A

13 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.

14 180˚ Rotation The general rule for a 180˚ rotation about the origin is: (X, Y)  (-X, - Y). You multiply each coordinate by -1.

15 270˚ 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.


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