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 many degrees are in a full rotation?

Back

A full rotation is 360 degrees.

Front

What does a 90-degree clockwise rotation look like?

Back

A 90-degree clockwise rotation turns a figure to the right, moving it one-quarter of the way around the center of rotation.

Front

What does a 90-degree counterclockwise rotation look like?

Back

A 90-degree counterclockwise rotation turns a figure to the left, moving it one-quarter of the way around the center of rotation.

Front

What is the result of rotating a point (x, y) 180 degrees around the origin?

Back

The result is (-x, -y), which reflects the point across the origin.

Front

If a point is rotated 270 degrees counterclockwise, what is the equivalent rotation?

Back

Rotating 270 degrees counterclockwise is the same as rotating 90 degrees clockwise.

Front

What is the image of the point (2, 3) after a 90-degree counterclockwise rotation around the origin?

Back

The image is (-3, 2).

Front

What is the image of the point (4, -5) after a 180-degree rotation around the origin?

Back

The image is (-4, 5).

Front

What happens to the coordinates of a point when it is rotated 90 degrees clockwise?

Back

The coordinates change from (x, y) to (y, -x).