Rules for Rotations

Using the graph above, rotate and graph the image of triangle ABC about the origin 270 degrees counterclockwise. Which quadrant will contain its image?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Using the graph above, rotate and graph the image of ABCD about the origin 180 degrees. Which quadrant will contain its image?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What are the vertices of the image BCD after a 90^o counterclockwise rotation?

• B'(−3, −3), C'(−1, 4), D'(2, 0)

• B'(3, 3), C'(1, −4), D'(−2, 0)

• B'(3, −3), C'(1, 4), D'(0, 2)

• B'(−3, −3), C'(−1, −4), D'(0, −2)

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

What are the coordinates of B' after a 270° clockwise?

• (4, 4)

• (4, -4)

• (-3, 4)

• (-4, 4)

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

A 270 degree rotation, is how many turns?

• 2 turns

• 1 turn

• 3 turns

• 4 turns

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)

What is the angle of rotation for this counterclockwise rotation about the origin?

• 90°

• 180°

• 270°

• 360°

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

• (x,y)→(y, -x) 

• (x,y)→(-x,-y)

• (x,y)→(x,y)

• (x,y)→(-y,x)