Rotations

Triangle A is rotated 90° clockwise 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)→(-y,x)
• (x,y)→(x,y)

Triangle A is rotated 270° 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)→(-y,x)
• (x,y)→(-x,-y)

Triangle C is rotated 180° 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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle D is rotated 360° clockwise 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)→(y, -x) 
• (x,y)→(x,y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• (5,-5)
• (5,5)
• (-5,5)
• (-5,-5)

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

• True
• False

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 270 counterclockwise 
• 90 degrees clockwise

One of the triangles is a rotation of the other.

• True
• False