Rotations and Reflections

How many degrees was the figure rotated?

• 270 degrees counter clockwise

• 180 degrees

• 90 degrees counter clockwise

Triangle A is rotated 270° 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

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

• CW 90^o, (x,y)→(y,-x)

• CW 180^o, (x,y)→(-x,-y)

• CW 270^o, (x,y) →(-y,x)

Tags

CCSS.HSG.CO.B.6

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

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

Reflect the point (2, -4) over the y-axis.

• (-4, 2)
• (-2, 4)
• (-2, -4)
• (2, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect (6, -3) over the line x-axis.

• (6, 3)
• (-6, -3)
• (-3, 6)
• (3, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

• S'(3, 7)
• S'(-3, 7)
• S'(-3, -7)
• S'(3, 7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

B(-2, -4)
Reflect over the line y = x

• (2, -4)
• (-4, 2)
• (-4, -2)
• (4, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5