Rotation in Geometry

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

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

The image A'B'C' is a rotation of ABC.

• True

• False

If a point (2, 3) is rotated 180 degrees about the origin, what are the new coordinates?

• (-2, -3)

• (3, 2)

• (2, -3)

• (-2, 3)

Identify the angle of rotation that results in a point moving from (1, 0) to (0, -1).

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

If a point (x, y) is rotated 270 degrees counterclockwise, what is the new coordinate formula?

• (-y, x)

• (y, -x)

• (x, y)

• (-x, -y)

Calculate the new coordinates of the point (-3, 2) after a 180-degree rotation.

• (-2, 3)

• (-3, -2)

• (3, 2)

• (3, -2)

What is the effect of a 360-degree rotation on any point in the plane?

• The point remains unchanged.

• The point rotates around another point.

• The point flips to the opposite side of the plane.

• The point moves to a new location.

Determine the angle of rotation that would map the point (0, 1) to (1, 0).

• 270 degrees

• 90 degrees

• 45 degrees

• 180 degrees

After rotating the point (3, -4) 90 degrees counterclockwise, what are the new coordinates?

• (-3, 4)

• (-4, -3)

• (4, 3)

• (3, 4)

What is the rule for rotating a point (x, y) 90 degrees clockwise?

• (y, -x)

• (y, x)

• (x, y)

• (-y, x)