Rotations Coordinate Grid

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

• A

• B

• C

• D

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)

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)

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)

The red triangle represents what type of rotation:

• 180° Clockwise

• 90° Counter Clockwise

• 90° Clockwise

• 270° Counter Clockwise

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

• (x,y)→(y, -x) 

• (x,y)→(x,y)

• (x,y)→(-y,x)

• (x,y)→(-x,-y)

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)

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)

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

• (4, 4)

• (4, -4)

• (-3, 4)

• (-4, 4)

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D