## What are the 3 rotation rules?

Here are the rotation rules: 90° clockwise rotation: (x,y) becomes (y,-x) 90° counterclockwise rotation: (x,y) becomes (-y,x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

**What are the rules for rotations in math?**

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .

### What is the formula for rotations?

Rotation Formula

Type of Rotation | A point on the Image | A point on the Image after Rotation |
---|---|---|

Rotation of 90° (Clockwise) | (x, y) | (y, -x) |

Rotation of 90° (Counter Clockwise) | (x, y) | (-y, x) |

Rotation of 180° (Both Clockwise and Counterclockwise) | (x, y) | (-x, -y) |

Rotation of 270° (Clockwise) | (x, y) | (-y, x) |

**What is the rule for rotating 90 degrees?**

When you rotate by 90 degrees, you take your original X and Y, swap them, and make Y negative. So from 0 degrees you take (x, y), swap them, and make y negative (-y, x) and then you have made a 90 degree rotation.

## What is the rule for 270 degrees counterclockwise?

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.

**What is a 270 degree clockwise rotation?**

Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees counterclockwise.

### What is the rule of rotation clockwise 180 degrees and counterclockwise 180 degree?

Rule of 180° Rotation If the point (x,y) is rotating about the origin in 180-degrees clockwise direction, then the new position of the point becomes (-x,-y). If the point (x,y) is rotating about the origin in 180-degrees counterclockwise direction, then the new position of the point becomes (-x,-y).

**What is the formula for 270 degrees counterclockwise?**

The rule given below can be used to do a counterclockwise rotation of 270 degree. When we rotate a figure of 270 degree counterclockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.

## How do you rotate a 270 degree counterclockwise?

**What is the rule for 270 degrees clockwise?**

Summary: The algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x).