IM1 - 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

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 does a 90° clockwise rotation do to a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

What does a 90° counterclockwise rotation do to a point (x, y)?

Back

A 90° counterclockwise rotation transforms the point (x, y) to (-y, x).

Front

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

Back

After a 180° rotation, the coordinates of the point (x, y) become (-x, -y).

Front

How do you determine the new coordinates after a 270° clockwise rotation?

Back

A 270° clockwise rotation transforms the point (x, y) to (-y, x).

Front

How do you determine the new coordinates after a 270° counterclockwise rotation?

Back

A 270° counterclockwise rotation transforms the point (x, y) to (y, -x).

Front

What is the result of rotating the point (3, 4) 90° clockwise?

Back

The result is (4, -3).

Front

What is the result of rotating the point (1, -2) 180°?

Back

The result is (-1, 2).