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 certain angle in a specific direction.

Front

What does it mean to rotate 90 degrees clockwise about the origin?

Back

To rotate 90 degrees clockwise about the origin means to turn a point or shape 90 degrees in the direction of the clock hands, around the origin (0,0) on a coordinate plane.

Front

What does it mean to rotate 90 degrees counterclockwise about the origin?

Back

To rotate 90 degrees counterclockwise about the origin means to turn a point or shape 90 degrees in the opposite direction of the clock hands, around the origin (0,0) on a coordinate plane.

Front

What is the result of rotating a point (x, y) 90 degrees clockwise?

Back

The result is the point (y, -x).

Front

What is the result of rotating a point (x, y) 90 degrees counterclockwise?

Back

The result is the point (-y, x).

Front

What is the result of rotating a point (x, y) 180 degrees about the origin?

Back

The result is the point (-x, -y).

Front

How do you determine the angle of rotation in a transformation?

Back

The angle of rotation is determined by how far the figure is turned around the center of rotation, measured in degrees.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

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

Front

If a shape is rotated 180 degrees, what happens to its orientation?

Back

The shape will be flipped upside down, and each point will be moved to the opposite side of the center of rotation.