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

How do you rotate a point 90 degrees counterclockwise about the origin?

Back

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

Front

What are the new coordinates of the point (3, 4) after a 180-degree rotation about the origin?

Back

The new coordinates will be (-3, -4).

Front

What is the effect of a 180-degree rotation on a point?

Back

A 180-degree rotation about the origin reflects the point through the origin, changing the signs of both coordinates.

Front

How do you rotate a point 90 degrees clockwise about the origin?

Back

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

Front

What are the coordinates of the point (1, 2) after a 90-degree counterclockwise rotation?

Back

The new coordinates will be (-2, 1).

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360 degrees.

Front

How do you determine the direction of rotation?

Back

The direction of rotation can be either clockwise (to the right) or counterclockwise (to the left), typically specified in the problem.

Front

What happens to the coordinates of a point when it is rotated 180 degrees?

Back

The coordinates of a point (x, y) become (-x, -y) after a 180-degree rotation.