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Printable “Transformation” worksheets:

Translations

Reflections

Rotations

Dilations

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 learn how to rotate a figure a given degree around a given center. Know that rotations move lines to lines, rays to rays, segments to segments, and angles to angles. Students know that rotations preserve lengths of segments and degrees of measures of angles. Students know that rotations move parallel lines to parallel lines.

Rotation is a transformation that turns a figure around a fixed point called the center of rotation. The amount of rotation is measured in degrees.

Methods for Performing Rotations

- Using Tracing Paper:

- Draw the original figure on a piece of paper.
- Place a transparency over the figure and trace it.
- Place a pin at the center of rotation.
- Rotate the transparency the desired number of degrees around the pin.
- Trace the rotated figure onto the paper.

- Using Coordinate Geometry (for specific angles):

For rotations of 90°, 180°, and 270 degrees about the origin, there are specific rules for transforming coordinates:

- 90° counterclockwise: (x, y) becomes (-y, x)
- 180° counterclockwise: (x, y) becomes (-x, -y)
- 270° counterclockwise: (x, y) becomes (y, -x)

Important Considerations:

- The direction of rotation is crucial (clockwise or counterclockwise).
- The center of rotation can be any point, but the origin is often used.
- The size and shape of the figure remain unchanged after rotation.
- Rotations preserve distance and angle measure.

Have a look at this video if you need to review how to perform rotation using tracing paper.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Rotation Worksheets**.

**Printable**

(Answers on the second page.)

Rotation Worksheet #1

Rotation Worksheet #2

Rotation Properties

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