STUDENT
TEACHER

Rotations Calculator

STUDENT
TEACHER

Rotations Calculator

# Rotations

CALCULATOR

## Rotation Calculator

### Step 1. Identify the center of rotation.

We have some questions for you! Help us out through this
INTRO
A rotation is a type of rigid transformation, which means it changes the position or orientation of an image without changing its size or shape.
A rotation does this by rotating an image a certain amount of degrees either clockwise ↻ or counterclockwise ↺.
For rotations of , , and in either direction around the origin , there are formulas we can use to figure out the new points of an image after it has been rotated.
 Clockwise ↻ Counterclockwise ↺
When we simplify, we can see that the counterclockwise and clockwise rotations are just the reverse of each other. So there are really only 3 rotation formulas we need to remember.
KEY STEPS

## How to Perform Rotations

### Step 3. Identify the angle and direction of the rotation.

Direction:Angle of Rotation:

### Step 4. Identify the formula that matches the rotation.

When we rotate counterclockwise:
• The axis lines up with the arrow pointing in the negative direction, so the new value is the negative of the old value.
• The axis lines up with the arrow pointing in the positive direction, so the new value is the old value.

### Step 5. Apply the formula to each original point to get the new points

 Original Point New Point ... ...

### Step 6. Plot the new points.

LESSON
Rotations around the Origin
PRACTICE
Rotations around the Origin
LESSON
Rotations NOT around the Origin
PRACTICE
Rotations NOT around the Origin
CONCLUSION
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