Rotations

Front

What is a rotation in geometry?

Back

A rotation in geometry is a transformation that turns a shape 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 shape is rotated.

Front

How do you determine the angle of rotation?

Back

The angle of rotation is measured in degrees and indicates how far the shape is turned around the center of rotation.

Front

What is the result of a 90° counterclockwise rotation of a point (x, y)?

Back

The result of a 90° counterclockwise rotation of a point (x, y) is (-y, x).

Front

What is the result of a 180° rotation of a point (x, y)?

Back

The result of a 180° rotation of a point (x, y) is (-x, -y).

Front

What is the result of a 270° counterclockwise rotation of a point (x, y)?

Back

The result of a 270° counterclockwise rotation of a point (x, y) is (y, -x).

Front

How does a rotation affect the coordinates of a shape?

Back

A rotation changes the coordinates of a shape based on the angle of rotation and the center of rotation, but it does not change the size or shape of the figure.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

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

Front

How do you visualize a rotation on a coordinate plane?

Back

To visualize a rotation on a coordinate plane, you can draw the original shape, mark the center of rotation, and then use the angle of rotation to determine the new positions of the vertices.

Front

What is the image of a point after a 180° rotation about the origin?

Back

The image of a point (x, y) after a 180° rotation about the origin is (-x, -y).