Rotation with Coordinates

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise?

• (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

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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 180° about the origin, what would the coordinates of B' be?

• (0, 0)
• (-6, -5)
• (-1, 3)
• (-6, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

True or False - The image A'B'C' is a rotation of ABC.

• True

• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

• A
• B
• C
• D

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the point (7,8) around the origin 90 degrees clockwise. 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

When an (x, y) coordinate goes to (-x, -y) it is a

• 180 degree rotation

• a 90 degree clockwise rotation

• a 90 degree counterclockwise rotation

• A 360 degree rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5