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-degree counterclockwise rotation around the origin?

Back

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

Front

What are the coordinates of a point after a 180-degree rotation around the origin?

Back

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

Front

What are the coordinates of a point after a 270-degree counterclockwise rotation around the origin?

Back

If a point has coordinates (x, y), after a 270-degree counterclockwise rotation, the new coordinates will be (y, -x).

Front

What is the effect of a 360-degree rotation on a point?

Back

A 360-degree rotation returns the point to its original position.

Front

How do you determine the angle of rotation for a figure?

Back

The angle of rotation is determined by the number of degrees the figure is turned around the center of rotation.

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

What is the image of the point (3, 4) after a 90-degree clockwise rotation around the origin?

Back

The image will be (4, -3).

Front

What is the image of the point (-2, -3) after a 180-degree rotation around the origin?

Back

The image will be (2, 3).

Front

What is the image of the point (1, -1) after a 270-degree clockwise rotation around the origin?

Back

The image will be (-1, -1).