Rotations with Coordinates

Select the option(s) that correctly describe the rotation from QNRE (black) to Q'R'N'E' (blue)

• 90 degrees counter-clockwise

• 180 degrees clockwise

• 270 degrees counterclockwise

• 90 degrees clockwise

Tags

CCSS.HSG.CO.B.6

What is the rule to describe this rotation?

Notice:

T ( -1,0) --> T' (1,0)

H (-4, 1) --> H' (4, -1)

Y (-4, 4) --> Y' (4, -4)

• (x, y) --> (-x, -y)

• (x, y) --> (y, x)

• (x, y) --> (x+4, x-2)

• (x, y) --> (x, y+1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A figure with coordinates U (1, -2) , W (0, 2), K (3,2), and G (3, -3) is rotated 90 $\degree$  clockwise about the origin. 

What is the coordinate of K'? 

Hint: 90  $\degree$  degrees clockwise: (x,y)--> (y, -x)

• K' (3, 2)

• K' (2, 3)

• K' (2, -3)

• K' (-2, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the point K (-3, -4) 180 degrees counter clockwise with the center of rotation at the origin.

What is the coordinate of K'?

• K' (6, 3)

• K' (4, 3)

• K' (-4, -3)

• K' (3, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point P (3, -2) is rotated 90 degrees counterclockwise about the origin. What are the coordinates of P'?

• P' (3, 2)

• P' (2, 3)

• P' (10, 10)

• P' (3, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle QRS is rotated 270 degrees counterclockwise about the origin.

What quadrant would Q'R'S' be in?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle FHU is rotated 90 degrees counter clockwise about the origin. What quadrant will its image, triangle F'H'U' be in?

• I

• II

• III

• IV

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Figure XTSU was rotated _____________ degrees counter clockwise about the origin.

Tags

CCSS.HSG.CO.B.6

What rule describes the rotation from QNRE (black) to Q'N'R'E' (blue)?

Notice:

Q (-5,0) --> Q' (0,5)

N (-5,4) --> N' (4,5)

R (-1,3) --> R' (3, 1)

E (-2,0) --> E' (0,2)

• (x, y)--> (x, y)

• (x, y)--> (y, x)

• (x, y) --> ( y, -x)

• (x, y) --> (x+1, y)

Tags

CCSS.HSG.CO.A.2

What two rotations would map JVYR to Quadrant I?

• 90 degrees counterclockwise

• 270 degrees counterclockwise

• 90 degrees clockwise

• 270 degrees clockwise

Tags

CCSS.8.G.A.3