Rotations Geometry

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the point (-5,8) around the origin 90 degrees clockwise. State the image of the point.

• (-8,5)
• (8,-5)
• (8,5)
• (5,-8)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• True
• False

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How many degrees was the figure rotated?

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

One of the triangles is a rotation of the other.

• True
• False

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

Tags

CCSS.HSG.CO.B.6

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

• (-5, 5)
• (-3, -5)
• (-5, 3)
• (-3, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, 5)
• (-5, 3)
• (-3, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5