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 rule for rotating a point (x, y) 90° clockwise?

Back

(x, y) → (y, -x)

Front

What is the rule for rotating a point (x, y) 90° counterclockwise?

Back

(x, y) → (-y, x)

Front

What is the rule for rotating a point (x, y) 180°?

Back

(x, y) → (-x, -y)

Front

What is the image of the point (3, 4) after a 90° clockwise rotation?

Back

(4, -3)

Front

What is the image of the point (3, 4) after a 90° counterclockwise rotation?

Back

(-4, 3)

Front

What is the image of the point (5, -2) after a 180° rotation?

Back

(-5, 2)

Front

What is the image of the point (1, 2) after a 270° counterclockwise rotation?

Back

(2, -1)

Front

What is the image of the point (-3, 5) after a 90° clockwise rotation?

Back

(5, 3)

Front

What is the image of the point (0, -4) after a 180° rotation?

Back

(0, 4)