Rotations from a Given Point

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 coordinates of B' be?

• (0, 0)

• (-6, -5)

• (-1, 3)

• (-6, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle C is rotated 180° 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 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

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

• (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 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

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

What are the coordinates of B' after a 270° clockwise?

• (4, 4)

• (4, -4)

• (-3, 4)

• (-4, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5