7.1 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 when rotating around the origin?

Back

The center of rotation is the point (0, 0) when rotating around the origin.

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

How do you rotate a point 180 degrees around the origin?

Back

To rotate a point (x, y) 180 degrees, the new coordinates will be (-x, -y).

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

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

Back

The image is (3, 4).

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).

Front

What are the coordinates of point B' after rotating point B(-6, -5) 180 degrees around the origin?

Back

The coordinates of B' are (6, 5).

Front

What is the effect of a 90-degree rotation on the coordinates of a point in the Cartesian plane?

Back

A 90-degree counterclockwise rotation transforms (x, y) to (-y, x).

Front

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

Back

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