3.3 Practice - 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

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a figure is rotated around the center of rotation.

Front

What is the rule for a 90-degree rotation counterclockwise around the origin?

Back

(x, y) → (-y, x) is the rule for a 90-degree rotation counterclockwise around the origin.

Front

What is the rule for a 180-degree rotation around the origin?

Back

(x, y) → (-x, -y) is the rule for a 180-degree rotation around the origin.

Front

What is the rule for a 270-degree rotation counterclockwise around the origin?

Back

(x, y) → (y, -x) is the rule for a 270-degree rotation counterclockwise around the origin.

Front

If a point (x, y) is rotated 90 degrees counterclockwise, what will be its new coordinates?

Back

The new coordinates will be (-y, x).

Front

If a point (x, y) is rotated 180 degrees, what will be its new coordinates?

Back

The new coordinates will be (-x, -y).

Front

If a point (x, y) is rotated 270 degrees counterclockwise, what will be its new coordinates?

Back

The new coordinates will be (y, -x).

Front

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

Back

A 360-degree rotation results in the figure being in the same position as it started.