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 degrees around the origin?

Back

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

Front

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

Back

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

Front

What is the rule for rotating a point 270 degrees counterclockwise?

Back

The rule is (x,y)→(y, -x).

Front

How do you rotate a point 90 degrees clockwise around the origin?

Back

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

Front

What is the image of the point (-3,-4) after a 180-degree rotation around the origin?

Back

The image will be (3,4).

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the direction of the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Front

How many degrees is a full rotation?

Back

A full rotation is 360 degrees.

Front

What happens to the coordinates of a point when it is rotated 90 degrees counterclockwise?

Back

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