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

What does a 90º clockwise rotation look like?

Back

A 90º clockwise rotation turns a figure 90 degrees to the right around the center of rotation.

Front

What does a 180º rotation do to a point (x, y)?

Back

A 180º rotation transforms the point (x, y) to (-x, -y).

Front

What is the result of rotating the point (3, 4) 90º counterclockwise?

Back

The point (3, 4) becomes (-4, 3) after a 90º counterclockwise rotation.

Front

How do you determine the angle of rotation if a point moves from (x, y) to (-x, -y)?

Back

If a point moves from (x, y) to (-x, -y), it has been rotated 180º.

Front

What is the effect of a 360º rotation on a figure?

Back

A 360º rotation returns the figure to its original position.

Front

How do you rotate a point (a, b) 90º clockwise?

Back

To rotate (a, b) 90º clockwise, the new coordinates will be (b, -a).

Front

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

Back

The coordinates of a point (x, y) become (-x, -y) when rotated 180º.

Front

If point A (8, 7) is rotated to A' (-8, -7), what is the angle of rotation?

Back

The angle of rotation is 180º.