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 are the coordinates of a point after a 90° counterclockwise rotation about the origin?

Back

If a point has coordinates (x, y), after a 90° counterclockwise rotation, the new coordinates will be (-y, x).

Front

What are the coordinates of a point after a 180° rotation about the origin?

Back

If a point has coordinates (x, y), after a 180° rotation, the new coordinates will be (-x, -y).

Front

What are the coordinates of a point after a 360° rotation about the origin?

Back

After a 360° rotation, the coordinates of the point remain unchanged: (x, y) → (x, y).

Front

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

Back

If a point has coordinates (x, y), after a 90° clockwise rotation, the new coordinates will be (y, -x).

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

What happens to the shape of a figure during a rotation?

Back

The shape and size of the figure remain unchanged during a rotation; only the position changes.

Front

If point A(2, 3) is rotated 90° counterclockwise about the origin, what are the new coordinates?

Back

The new coordinates of point A after a 90° counterclockwise rotation are (-3, 2).

Front

If point B(-4, 1) is rotated 180° about the origin, what are the new coordinates?

Back

The new coordinates of point B after a 180° rotation are (4, -1).

Front

What is the effect of a 270° clockwise rotation on a point?

Back

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