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?

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

360°.

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

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

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

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

Front

What is the effect of a 270° counterclockwise rotation on a point (x, y)?

Back

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

Front

If a point K (7, 8) is rotated 90° counterclockwise, what are the new coordinates?

Back

K' (-8, 7).

Front

If a point F (-2, 7) is rotated 180° clockwise, what are the new coordinates?

Back

F' (2, -7).

Front

What is the rule for rotating a point 180° clockwise?

Back

(x, y) → (-x, -y).

Front

What happens to the orientation of a shape after a 90° counterclockwise rotation?

Back

The orientation of the shape changes, and it appears to turn left.