Rotations Warm-Up

Front

What is another word for a rotation?

Back

Turn

Front

Rotate the point A(-5,1) around the origin 270 degrees counterclockwise. State the image of the point.

Back

A'(1, 5)

Front

How many degrees was the figure rotated?

Back

90 degrees counterclockwise

Front

Which rule describes a rotation 180° counterclockwise?

Back

( x, y ) → ( -x, -y )

Front

What is the definition of rotation in geometry?

Back

A rotation is a circular movement of a figure around a fixed point called the center of rotation.

Front

What is the center of rotation?

Back

The fixed point around which a figure rotates.

Front

How do you determine the direction of rotation?

Back

Rotation can be clockwise (to the right) or counterclockwise (to the left).

Front

What is the effect of rotating a point 90 degrees counterclockwise?

Back

The coordinates of the point (x, y) change to (-y, x).

Front

What happens to the coordinates of a point when it is rotated 180 degrees?

Back

The coordinates of the point (x, y) change to (-x, -y).

Front

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

Back

90 degrees clockwise.