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 is a 90-degree clockwise rotation?

Back

A 90-degree clockwise rotation turns a figure 90 degrees to the right around the center of rotation.

Front

What is a 90-degree counterclockwise rotation?

Back

A 90-degree counterclockwise rotation turns a figure 90 degrees to the left around the center of rotation.

Front

What happens to the coordinates of a point (x, y) when it is rotated 180 degrees about the origin?

Back

The coordinates change to (-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 result of rotating the point (3, 4) 180 degrees about the origin?

Back

The result is (-3, -4).

Front

How do you determine the angle of rotation for a figure?

Back

The angle of rotation is determined by how far the figure has been turned around the center of rotation.