## How do you rotate on a coordinate plane?

Rotating Shapes

- Unless otherwise specified, a positive rotation is counterclockwise, and a negative rotation is clockwise.
- The notation used for rotations on the coordinate plane is: Rnumber of degrees(x,y)→(x′,y′).
- To rotate a shape, you should usually rotate each vertex of the image individually.

## Are there rules for rotation on a coordinate plane?

If you take a coordinate grid and plot a point, then rotate the paper 90° or 180° clockwise or counterclockwise about the origin, you can find the location of the rotated point. Here are the rotation rules: 90° clockwise rotation: (x,y) becomes (y,-x) 90° counterclockwise rotation: (x,y) becomes (-y,x)

**What is the formula for rotation?**

Rotation Formula:

Rotation | Point coordinate | Point coordinate after Rotation |
---|---|---|

Rotation of 90^{0} (Anti-Clockwise) | (x, y) | (-y, x) |

Rotation of 180^{0} (Both) | (x, y) | (-x, -y) |

Rotation of 270^{0} (Clockwise) | (x, y) | (-y, x) |

Rotation of 270^{0} (Anti-Clockwise) | (x, y) | (y, -x) |

**How do you rotate 270 degrees on a coordinate plane?**

The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .

### What is a 180 rotation?

180 Degree Rotation When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. 180 Counterclockwise Rotation.

### What is the rule for 270 degree counterclockwise rotation XY to?

270 Degree Rotation When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.

**Is a 90 degree rotation clockwise or counterclockwise?**

Since the rotation is 90 degrees, you will rotating the point in a clockwise direction.

**How do you find the coordinates of a rotated figure?**

If you rotate a figure clockwise 90°, then you are going to be shifting the whole figure along the x-axis. To figure out the coordinates of the new rotated figure, you switch the coordinates and then, you need to multiply the second coordinate by -1.

## What happens when you rotate a shape 270 degrees clockwise?

When we rotate a figure of 270 degree clockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure. …