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 center of rotation?

Back

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

Front

How do you rotate a point 90° counterclockwise around the origin?

Back

To rotate a point (x, y) 90° counterclockwise around the origin, the new coordinates will be (-y, x).

Front

What are the new coordinates of the point (3, 4) after a 90° counterclockwise rotation around the origin?

Back

The new coordinates will be (-4, 3).

Front

How do you rotate a point 180° around the origin?

Back

To rotate a point (x, y) 180° around the origin, the new coordinates will be (-x, -y).

Front

What are the new coordinates of the point (5, -2) after a 180° rotation around the origin?

Back

The new coordinates will be (-5, 2).

Front

How do you rotate a point 270° counterclockwise around the origin?

Back

To rotate a point (x, y) 270° counterclockwise around the origin, the new coordinates will be (y, -x).

Front

What are the new coordinates of the point (-1, 2) after a 270° counterclockwise rotation around the origin?

Back

The new coordinates will be (2, 1).

Front

What is the effect of a clockwise rotation of 90° on the coordinates of a point?

Back

To rotate a point (x, y) 90° clockwise around the origin, the new coordinates will be (y, -x).

Front

What are the new coordinates of the point (6, 3) after a 90° clockwise rotation around the origin?

Back

The new coordinates will be (3, -6).