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

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What happens to the coordinates of a point after a 180-degree rotation around the origin?

Back

The coordinates (x, y) become (-x, -y).

Front

If a point (a, b) is rotated 90 degrees clockwise, what are the new coordinates?

Back

The new coordinates will be (b, -a).

Front

If a point (a, b) is rotated 90 degrees counterclockwise, what are the new coordinates?

Back

The new coordinates will be (-b, a).

Front

What is the image of the point (-3, -4) after a 180-degree rotation around the origin?

Back

The image will be (3, 4).

Front

What is the image of the point (7, 8) after a 90-degree counterclockwise rotation around the origin?

Back

The image will be (-8, 7).