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 effect of a 180° rotation about the origin on a point (x, y)?

Back

The point (x, y) is transformed to (-x, -y).

Front

What are the coordinates of point A (3, 5) after a 180° rotation about the origin?

Back

(-3, -5)

Front

What is the image of point S (2, -5) after a 90° clockwise rotation about the origin?

Back

S' (-5, -2)

Front

What transformation is represented by the function (x, y) → (x + 2, y - 3)?

Back

This represents a translation 2 units to the right and 3 units down.

Front

What is the angle of rotation if the point (-3, 4) is mapped to (3, -4)?

Back

180°.

Front

How do you perform a 90° clockwise rotation on a point (x, y)?

Back

The point (x, y) is transformed to (y, -x).

Front

What is the image of point B (1, 2) after a 90° counterclockwise rotation about the origin?

Back

B' (-2, 1).

Front

What is the effect of a 180° rotation on a parallelogram?

Back

The parallelogram will be flipped to the opposite side of the center of rotation, maintaining its shape and size.

Front

What are the coordinates of point C (-2, 3) after a 90° clockwise rotation about the origin?

Back

C' (-3, -2).