Rotations on a Coordinate Plane

Rotate point G(-4,0) 90 degrees clockwise.

• (0,-4)

• (4, -0)

• (0, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotations, like translations and reflections, produce congruent figures.

• true

• false

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If this figure is rotated 180 degrees, which quadrant will it end up in?

• quadrant 1

• quadrant 2

• quadrant 3

• quadrant 4

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 triangle shows the new location?

• A

• B

• C

• D

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A point is located at (3, 4) on a coordinate plane. What are the coordinates of the point after a 90-degree rotation clockwise about the origin?

• (4, -3)

• (-4, 3)

• (-3, -4)

• (3, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of rotating the point (-2, 3) 270 degrees counterclockwise about the origin?

• (3, 2)

• (-3, -2)

• (3, -2)

• (-3, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A rectangle has vertices at (1, 1), (1, 4), (4, 4), and (4, 1). After a 90-degree rotation clockwise about the origin, what are the new coordinates of the vertices?

• (1, -1), (4, -1), (4, -4), (1, -4)

• (-1, 1), (-1, 4), (-4, 4), (-4, 1)

• (1, -1), (-1, -4), (-4, -1), (-1, 4)

• (-1, 1), (-4, 1), (-4, -4), (-1, -4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a point (x, y) is rotated 180 degrees about the origin, which of the following represents its new coordinates?

• (x, y)

• (-x, -y)

• (y, x)

• (-y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a point (7, -4) is rotated 90 degrees clockwise about the origin, what is its new position?

• (4, 7)

• (-4, -7)

• (4, -7)

• (-4, 7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5