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 does CCW stand for in rotations?

Back

CCW stands for Counter Clockwise, which is the direction of rotation that goes against the direction of the clock's hands.

Front

What is the rule for a 90° CCW rotation around the origin?

Back

(x,y) ----> (-y,x)

Front

What is the rule for a 90° CW rotation around the origin?

Back

(x,y) ----> (y,-x)

Front

What is the rule for a 180° rotation around the origin?

Back

(x,y) ----> (-x,-y)

Front

If point D is at (5,5), what is the image of D after a 180° rotation around the origin?

Back

D' (-5,-5)

Front

How do you determine the direction of rotation?

Back

The direction of rotation is determined by the angle and whether it is specified as clockwise (CW) or counterclockwise (CCW).

Front

What is the angle of rotation for a full turn?

Back

A full turn is 360°.

Front

What happens to the coordinates of a point after a 90° CCW rotation?

Back

The coordinates (x,y) become (-y,x).

Front

What happens to the coordinates of a point after a 90° CW rotation?

Back

The coordinates (x,y) become (y,-x).