Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as 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

How does a 90° counterclockwise rotation affect the coordinates of a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Front

How does a 180° rotation affect the coordinates of a point (x, y)?

Back

The new coordinates after a 180° rotation are (-x, -y).

Front

How does a 270° counterclockwise rotation affect the coordinates of a point (x, y)?

Back

The new coordinates after a 270° counterclockwise rotation are (y, -x).

Front

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

Back

The image is (4, -3).

Front

What is the image of the point (1, -2) after a 180° rotation?

Back

The image is (-1, 2).

Front

What is the image of the point (-3, 5) after a 270° clockwise rotation?

Back

The image is (5, 3).

Front

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

Back

The rule is (x, y) → (y, -x).