rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific 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 algebraic representation for a 90° counterclockwise rotation?

Back

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

Front

What is the algebraic representation for a 180° rotation?

Back

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

Front

What is the algebraic representation for a 270° counterclockwise rotation?

Back

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

Front

How do you determine the coordinates after a 90° clockwise rotation?

Back

For a 90° clockwise rotation, the transformation is (x, y) ----> (y, -x).

Front

What happens to the coordinates of a point after a 180° rotation?

Back

The coordinates of a point (x, y) become (-x, -y) after a 180° rotation.

Front

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

Back

A 270° counterclockwise rotation is equivalent to a 90° clockwise rotation.

Front

What is the angle of rotation for a full rotation?

Back

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

Front

How do you find the image of a point after a rotation?

Back

To find the image of a point after a rotation, apply the appropriate transformation based on the angle and direction of rotation.