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-degree counterclockwise rotation do to a point (x, y)?

Back

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

Front

What does a 180-degree rotation do to a point (x, y)?

Back

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

Front

What does a 270-degree counterclockwise rotation do to a point (x, y)?

Back

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

Front

How do you rotate a point (a, b) 90 degrees counterclockwise around the origin?

Back

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

Front

How do you rotate a point (a, b) 180 degrees around the origin?

Back

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

Front

How do you rotate a point (a, b) 270 degrees counterclockwise around the origin?

Back

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

Front

What is the image of the point (5,5) after a 180-degree rotation around the origin?

Back

The image is (-5,-5).

Front

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

Back

The image is (-8,7).