Rotation About the Origin

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 the triangle 180° clockwise?

• (x,y)→(y, -x)

• (x,y)→(-x,-y)

• (x,y)→(x,y)

• (x,y)→(-y,x)

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

• A

• B

• C

• D

How many degrees was the figure rotated?

• 90 degrees counterclockwise

• 180 degrees

• 90 degrees clockwise

• 270 degrees clockwise

What is a transformation that turns a figure about a fixed point for a given angle?

• Point of Rotation 

• Vertex 

• Rotations

• Image 

The image A'B'C' is a rotation of ABC.

• True

• False

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

What is this picture an example of? 

• An angle

• A cat vertex 

• Rotation 

• Dilation

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 90 degrees clockwise