Rotations on the Coordinate Plane. Horizontal- left and right.
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Transcript of Rotations on the Coordinate Plane. Horizontal- left and right.
![Page 1: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/1.jpg)
Rotations on the Coordinate Plane
![Page 2: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/2.jpg)
Horizontal- left and right
![Page 3: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/3.jpg)
Vertical- up and down
![Page 4: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/4.jpg)
A ROTATION of a geometric figure is the turn of the figure
around a fixed point.
![Page 5: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/5.jpg)
Clockwiseused sometimes
![Page 6: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/6.jpg)
Counter-clockwiseused most of the time
![Page 7: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/7.jpg)
90a quarter of a turn
![Page 8: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/8.jpg)
180A straight angle
![Page 9: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/9.jpg)
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
Rotate the figure
clockwise 90 around the origin. (The origin is the
center.)
A
BC B
C A
![Page 10: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/10.jpg)
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
AB
CD
D
CB
A
Rotate the figure 90 counter-clockwise around the origin.
![Page 11: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/11.jpg)
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
A
B C
A
BC
Rotate the figure 180 counter-
clockwise around the origin.
![Page 12: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/12.jpg)
5
4
3
2
1
-5 -4 -3 -2 -1 -1
1 2 3 4 5
-2
-3
-4
-5
Rotate the figure 180 clockwise around
the origin.
A B
CD
C
B
D
A
![Page 13: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/13.jpg)
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.
![Page 14: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/14.jpg)
180˚ Rotation• The general rule for a 180˚ rotation about the origin is: (X, Y) (-X, -Y).
• You multiply each coordinate by -1.
![Page 15: Rotations on the Coordinate Plane. Horizontal- left and right.](https://reader035.fdocuments.us/reader035/viewer/2022062322/5697c0031a28abf838cc3e57/html5/thumbnails/15.jpg)
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.