swbat: rotate figures around the origin by graphing swbat: rotate figures around the origin without...
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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