SWBAT: rotate figures around the origin by graphing

SWBAT: rotate figures around the origin without graphing

SWBAT: write a rule describing a rotation around the origin

4 Types of Transformations

translations

Reflections

Rotations

Dilations

Rotation

To rotate means to turn around a center point.

Clockwise vs Counter-clockwise

Clockwise (abbreviated CW) Counterclockwise (abbreviated CCW)

Degree Review

90°

180°

270°

360°

How to Rotate a Figure on a GraphSteps

1. Rotate your paper the stated degrees clockwise or counterclockwise

90 means top is now at right

180 means top is now at bottom

270 means top is now at left

360 is complete circle

2. Write the coordinates of the new shape vertices

3. Return paper to normal, graph the new figure and label all prime vertices with coordinates

Model: Rotate 90° clockwise

A(4, -1) B (2, -3) C(2, -1)

A

BC

A’

B’

C’

How to Rotate a Figure on a GraphSteps

1. Rotate your paper the stated degrees clockwise or counterclockwise

90 means top is now at right

180 means top is now at bottom

270 means top is now at left

360 is complete circle

2. Write the coordinates of the new shape vertices

3. Return paper to normal, graph the new figure and label all prime vertices with coordinates

Model: Rotate 180° clockwise

A(-1, -4) B (-3, -2) C(-1, -2)

A

BC

A’

B’C’

How to Rotate a Figure on a GraphSteps

1. Rotate your paper the stated degrees clockwise or counterclockwise

90 means top is now at right

180 means top is now at bottom

270 means top is now at left

360 is complete circle

2. Write the coordinates of the new shape vertices

3. Return paper to normal, graph the new figure and label all prime vertices with coordinates

Model: Rotate 270° counter clockwise

A(4, -1) B (2, -3) C(2, -1)

A

BC

A’

B’

C’

Please fill in this graph in your notes

Rotation around the origin

How to Write a Rotation Rule from

a pictureSteps

1. Draw an arched line from two of the original vertices to two of the prime vertices

2. Describe the direction (cw or ccw) and the degree of rotation

3. Write the complimentary direction and degree of rotation.

Model: A to B

90° CCW OR 270° CW

How to Write a Rotation Rule from

a pictureSteps

1. Draw an arched line from two of the original vertices to two of the prime vertices

2. Describe the direction (cw or ccw) and the degree of rotation

3. Write the complimentary direction and degree of rotation.

Model: A to C

180° CCW OR 180° CW