Rotations Key Idea A point or a shape

Rotations

Key Idea • A point or a shape can be rotated about a fixed point.

Examples

The shape can also be located on the point

Checking for Understanding • Describe the following as: translation, reflection, or rotation.

Describing Rotations • Clockwise Counterclockwise

Describing Rotations The blue arrow is the initial position The red arrow is the result of a rotation 90 degrees clockwise 270 degrees clockwise 180 degrees clockwise 360 or 0 degrees clockwise

The blue arrow is the initial position The red arrow is the result of a rotation 90 degrees clockwise 270 degrees counterclockwise 180 degrees counterclockwise 270 degrees clockwise 90 degrees counterclockwise 360 or 0 degrees counterclockwise

Describe the rotation

Rotation of Shapes Activity • Cut out your shapes

Write the coordinate points of the original shape. Translate the shape (x – 6, y – 3). Record the new coordinates A B C

Write the coordinate points of the original shape. Reflect the shape over the x axis. Record the new coordinates A B C

Write the coordinate points of the original shape. Reflect the shape over the y axis. Record the new coordinates A B C

Write the coordinate points of the original shape. Rotate the shape 90 degrees clockwise. Record the new coordinates A B C

Write the coordinate points of the original shape. Rotate the shape 180 degrees clockwise. Record the new coordinates C A B

Write the coordinate points of the original shape. Rotate the shape 90 degrees counter clockwise. Record the new coordinates A D B C

Write the coordinate points of the original shape. Rotate the shape 90 degrees counter clockwise. Record the new coordinates D C A B

• What do you notice about the new coordinates of your rotated shapes?

Theif!

Rotate 90 degrees clockwise A B C D

B A Rotate 90 degrees counterclockwise C

B A Rotate 180 degrees counterclockwise C

Closure • How is a rotation different from a translation?

Closure • Clockwise or counterclockwise?