Transformations: 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 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 algebraic rotation rule for a 90° clockwise rotation?

Back

(x, y) → (y, -x)

Front

What is the algebraic rotation rule for a 90° counterclockwise rotation?

Back

(x, y) → (-y, x)

Front

What is the algebraic rotation rule for a 180° rotation?

Back

(x, y) → (-x, -y)

Front

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

Back

Use the rule: (x, y) → (-y, x).

Front

If a point A is at (3, 2), what are the coordinates of A' after a 90° clockwise rotation?

Back

A' is at (2, -3).

Front

If a point B is at (-1, 4), what are the coordinates of B' after a 180° rotation?

Back

B' is at (1, -4).

Front

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

Back

The coordinates are transformed using the rule: (x, y) → (-y, x).

Front

What is the effect of a 360° rotation on a figure?

Back

A 360° rotation returns the figure to its original position.