Rotations on the Coordinate Plane (8th)

Front

What is a rotation in the coordinate plane?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a specified angle in a specified direction.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree to which a figure is rotated around the center of rotation.

Front

What is the rule for rotating a point 90° counterclockwise?

Back

(x, y) → (-y, x) is the rule for rotating a point 90° counterclockwise.

Front

What is the rule for rotating a point 180° counterclockwise?

Back

(x, y) → (-x, -y) is the rule for rotating a point 180° counterclockwise.

Front

What is the rule for rotating a point 270° counterclockwise?

Back

(x, y) → (y, -x) is the rule for rotating a point 270° counterclockwise.

Front

How does a 90° clockwise rotation affect the coordinates of a point?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

How does a 180° rotation affect the coordinates of a point?

Back

A 180° rotation transforms the point (x, y) to (-x, -y).

Front

How does a 270° clockwise rotation affect the coordinates of a point?

Back

A 270° clockwise rotation transforms the point (x, y) to (-y, x).

Front

What is the image of the point (3, 4) after a 90° counterclockwise rotation?

Back

The image of the point (3, 4) after a 90° counterclockwise rotation is (-4, 3).