Rotations

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

• 90°
• 180°
• 270°
• 360°

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

• (0, 0)
• (-6, -5)
• (-1, 3)
• (-6, 2)

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.

• (5,-5)
• (5,5)
• (-5,5)
• (-5,-5)

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

• (x,y)→(y, -x) 
• (x,y)→(x,y)
• (x,y)→(-x,-y)
• (x,y)→(-y,x)

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

• (-4,-3)
• (-4,3)
• (4,-3)
• (3,4)

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

• (-8,5)
• (8,-5)
• (8,5)
• (5,-8)

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)

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise?

• (x,y)→(y, -x) 
• (x,y)→(-x,-y)
• (x,y)→(-y,x)
• (x,y)→(x,y)

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2, y-5)
• (x+2, y-9)
• (x-2, y-9)