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

Back

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

Front

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

Back

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

Front

What are the coordinates of a point after a 180-degree rotation about the origin?

Back

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

Front

How do you find the image of a point after a 270-degree counterclockwise rotation?

Back

A 270-degree counterclockwise rotation transforms the point (x, y) to (y, -x).

Front

What is the effect of a 360-degree rotation on a point?

Back

A 360-degree rotation returns the point to its original position.

Front

If point A is at (3, 4), what are the coordinates after a 90-degree clockwise rotation?

Back

After a 90-degree clockwise rotation, point A moves to (4, -3).

Front

If point B is at (-2, 5), what are the coordinates after a 180-degree rotation?

Back

After a 180-degree rotation, point B moves to (2, -5).

Front

What is the image of point C (1, -1) after a 270-degree counterclockwise rotation?

Back

After a 270-degree counterclockwise rotation, point C moves to (-1, -1).