Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific 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 of turn about the center of rotation.

Front

How do you rotate a point 90° counterclockwise around the origin?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates will be (-y, x).

Front

How do you rotate a point 90° clockwise around the origin?

Back

To rotate a point (x, y) 90° clockwise, the new coordinates will be (y, -x).

Front

What is the rule for rotating a point 180° around the origin?

Back

To rotate a point (x, y) 180° around the origin, the new coordinates will be (-x, -y).

Front

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

Back

To rotate a point (x, y) 270° counterclockwise, the new coordinates will be (y, -x).

Front

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

Back

The image is (-4, 3).

Front

What is the image of the point (-2, 5) after a 270° clockwise rotation?

Back

The image is (5, 2).

Front

What is the image of the point (1, -1) after a 180° rotation?

Back

The image is (-1, 1).