Rotation Transformations

Front

What is a rotation transformation?

Back

A rotation transformation is a type of transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle in a specified direction (clockwise or counterclockwise).

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

90° counterclockwise rotation means turning the figure 90 degrees in the counterclockwise direction around the center of rotation.

Front

What are the coordinates of a point (x, y) after a 180° rotation about the origin?

Back

The coordinates after a 180° rotation about the origin are (-x, -y).

Front

What is the rule for a 90° clockwise rotation?

Back

The rule for a 90° clockwise rotation is (x, y) → (y, -x).

Front

How many quadrants are there in a coordinate plane?

Back

There are 4 quadrants in a coordinate plane.

Front

What are the coordinates of the point (5, 5) after a 180° rotation about the origin?

Back

The coordinates after a 180° rotation about the origin are (-5, -5).

Front

What is the image of the point (-5, 8) after a 90° clockwise rotation?

Back

The image of the point (-5, 8) after a 90° clockwise rotation is (8, 5).

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360°.

Front

What happens to the coordinates of a point after a 270° counterclockwise rotation?

Back

The coordinates of a point (x, y) after a 270° counterclockwise rotation become (y, -x).

Front

What is the image of the point (1, 3) after a 90° clockwise rotation?

Back

The image of the point (1, 3) after a 90° clockwise rotation is (3, -1).