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 certain angle in a specific 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 180° around the origin?

Back

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

Front

What is the rule for rotating a point 90° counterclockwise around the origin?

Back

The rule is (x, y) → (-y, x).

Front

What is the rule for rotating a point 270° counterclockwise around the origin?

Back

The rule is (x, y) → (y, -x).

Front

If a point A(1, 1) is rotated 270° around the origin, what are the new coordinates?

Back

The new coordinates are (1, -1).

Front

What happens to the coordinates of a point when it is rotated 180°?

Back

The coordinates change from (x, y) to (-x, -y).

Front

If point B(-3, -4) is rotated 180° around the origin, what are the new coordinates?

Back

The new coordinates are (3, 4).

Front

What is the effect of a 90° clockwise rotation on the coordinates (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is the effect of a 270° clockwise rotation on the coordinates (x, y)?

Back

The new coordinates will be (-y, x).