Rotate Using Coordinates

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

• (-3, -1)

• (3,1)

• (1,3)

• (-1, -3)

What is the ordered pair for C' if the triangle is rotated 90 degrees counterclockwise?

• (-8, 2)

• (2, -4)

• (-2, -8)

• (2, -8)

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)

The point M (4, -5) is rotated 270° counterclockwise around the origin. What are the new coordinates of M'?

• (5, 4)

• (-4, 5)

• (-5, -4)

• (4, -5)

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)

What is the angle of the clockwise rotation?

• 90°

• 180°

• 270°

Identify the transformation from A to D.

• 90^o Clockwise Rotation

• 180^o Rotation

• 270^o  clockwise Rotation

• 360^o Rotation

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

• (-4,-3)

• (-4,3)

• (4,-3)

• (3,4)

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 90 degrees clockwise

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