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 does a 90° clockwise rotation do to a point (x, y)?

Back

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

Front

What does a 90° counterclockwise rotation do to a point (x, y)?

Back

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

Front

What is the result of rotating the point (3, 4) 90° clockwise around the origin?

Back

The image of the point is (4, -3).

Front

What is the result of rotating the point (5, -2) 90° counterclockwise around the origin?

Back

The image of the point is (2, 5).

Front

How do you determine the angle of rotation?

Back

The angle of rotation is determined by how far the figure is turned around the center of rotation, measured in degrees.

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

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

Front

What is the effect of a 270° clockwise rotation on a point (x, y)?

Back

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

Front

If point A is at (2, 3), what are the coordinates of A' after a 90° clockwise rotation?

Back

The coordinates of A' will be (3, -2).