Rotations Other Points

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.

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

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)

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

What geometric form do rotations move points along?

• Rays

• Parallel Lines

• Perpendicular Lines

• Circular Arcs

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

Rotate 90 degrees counterclockwise.

• C' (-6, 2), B' (-1, -1)

• C' (6, 2), B' (1, -1)

• C' (2, -6), B' (-1, -1)

• C' (-2, -6), B' (1, -1)

Describe the rotational symmetry for a regular pentagon.

• A regular pentagon has a central angle of 72° and will map onto itself after rotations of 72°, 144°, 216°, and 288°.

• A regular pentagon has five axes of symmetry.

• A regular pentagon has four-fold rotational symmetry.

• A regular pentagon has a central angle of 45° and will map onto itself after rotations of 45°, 90°, 135°, 180°, 225°, 270°, and 325°.

Point (5, -3) is rotated 90 degrees CCW. Where is the new point located?

• (3, 5)

• (5, 3)

• (-3, -5)

• (-5, 3)