90 and 270 Degree Rotations

Find the image of triangle ABC after rotating 90 degrees counterclockwise about the origin. What are the coordinates of C' ?

• (3, -4)

• (-4, -3)

• (4, 3)

• (-3, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

For the transformation shown at the right, what is the measure of the angle of rotation of ABCD about the origin?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Tags

CCSS.HSG.CO.B.6

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Using the graph above, rotate and graph the image of triangle ABC about the origin 270 degrees counterclockwise. Which quadrant will contain its image?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

How many degrees was the figure rotated?

• 90 degrees counterclockwise

• 180 degrees

• 270 degrees counterclockwise

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

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

• 90°

• 180°

• 270°

• 360°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

This figure is in quadrant 4. If it is rotated 90 degrees counter clockwise, which quadrant will it end in?

• quadrant 1

• quadrant 2

• quadrant 3

• quadrant 4

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5