Rotations on a Coordinate Plane

If a point (4, -5) is rotated 270 degrees clockwise about the origin, what is its new position?

• (5, 4)

• (-5, -4)

• (-4, 5)

• (5, -4)

A triangle has vertices at (1, 2), (3, 5), and (5, 2). What are the coordinates of the vertices after a 180-degree rotation about the origin?

• (-1, -2), (-3, -5), (-5, -2)

• (1, 2), (3, 5), (5, 2)

• (-2, -1), (-5, -3), (-2, -5)

• (2, 1), (5, 3), (2, 5)

A square has vertices at (-2, 2), (2, 2), (2, -2), and (-2, -2). What are the coordinates of the vertices after a 270-degree rotation clockwise about the origin?

• (2, 2), (-2, 2), (-2, -2), (2, -2)

• (-2, -2), (-2, 2), (2, 2), (2, -2)

• (2, -2), (2, 2), (-2, 2), (-2, -2)

• (-2, 2), (2, 2), (2, -2), (-2, -2)

A pentagon has vertices at (1, 0), (2, 1), (1, 2), (0, 1), and (-1, 0). After a 180-degree rotation about the origin, what are the new coordinates of the vertices?

• (-1, 0), (-2, -1), (-1, -2), (0, -1), (1, 0)

• (1, 0), (2, 1), (1, 2), (0, 1), (-1, 0)

• (1, 0), (-1, 2), (-2, 1), (-1, 0), (0, -1)

• (-1, 0), (-2, 1), (-1, 2), (0, 1), (1, 0)

A hexagon has vertices at (2, 1), (3, 2), (3, 4), (2, 5), (1, 4), and (1, 2). After a 90-degree rotation counterclockwise about the origin, what are the new coordinates of the vertices?

• (-1, 2), (-2, 3), (-4, 3), (-5, 2), (-4, 1), (-2, 1)

• (1, -2), (2, -3), (4, -3), (5, -2), (4, -1), (2, -1)

• (-1, -2), (-2, -3), (-4, -3), (-5, -2), (-4, -1), (-2, -1)

• (1, 2), (2, 3), (4, 3), (5, 2), (4, 1), (2, 1)

A parallelogram has vertices at (3, 3), (5, 3), (4, 1), and (2, 1). After a 90-degree rotation counterclockwise about the origin, what are the new coordinates of the vertices?

• (-3, 3), (-3, 5), (-1, 4), (-1, 2)

• (3, -3), (3, -5), (1, -4), (1, -2)

• (-3, -3), (-5, -3), (-4, -1), (-2, -1)

• (3, 3), (5, 3), (4, 1), (2, 1)

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 270 counterclockwise 

• 90 degrees clockwise

Rotate the point (7,8) around the origin 90 degrees counter clock wise. State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

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)

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 90 degrees clockwise