Rotations STAAR Practice

Triangle ABC is rotated 270 degrees counterclockwise about the origin to create triangle A'B'C'. Which rule describes this transformation?

• (x, y) --> (-y, x)

• (x, y) --> (y, -x)

• (x, y) --> (-x, y)

• (x, y) --> (x, -y)

Parallelogram PQRS is rotated 180 degrees clockwise about the origin to create paralellogram P'Q'R'S'. Which rule describes this transformation?

• (x, y) --> (x, y)

• (x, y) --> (-x, -y)

• (x, y) --> (-x, y)

• (x, y) --> (x, -y)

A hexagon is rotated 360 degrees about the origin to create a new hexagon. Which rule describes this transformation?

• (x, y) --> (-y, x)

• (x, y) --> (y, -x)

• (x, y) --> (x, y)

• (x, y) --> (-x, -y)

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

The preimage above is rotated 90^o counterclockwise. How do the side lengths in the preimage compare to the side lengths in the image?

• Some of the side lengths increase in measure and other side lengths decrease in measure.

• The measures of the side lengths double.

• The measures of the side lengths decrease by one third.

• The measures of the side lengths are the same.

If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point...

• (2, 5)

• (2, -5)

• (-2, 5)

• (-5, -2)

What are the coordinates of M', the image of M(2,4), after a counterclockwise rotation of 90º about the origin and then reflected over the line y = x?

• (-2, 4)

• (2, -4)

• (-4, 2)

• (-4, -2)

When rotating a figure in the plane, each quadrant is how many degrees?

• 360

• 180

• 270

• 90

If (3,2)→(-3,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

• 90

• 180

• 270

• 360

If (4,-2) → (-2, -4) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

• 90

• 180

• 270

• 360