Rotation in the Coordinate Plane

Front

What is rotation in the coordinate plane?

Back

Rotation in the coordinate plane refers to turning a figure around a fixed point, usually the origin, by a certain angle in a specific direction.

Front

What is the standard angle of rotation for a 90-degree counterclockwise rotation?

Back

The standard angle of rotation for a 90-degree counterclockwise rotation is represented as (x, y) -> (-y, x).

Front

What is the result of rotating the point (3, 4) 180 degrees around the origin?

Back

The result is (-3, -4).

Front

How do you determine the quadrant of a point after a 270-degree rotation?

Back

After a 270-degree rotation, the point (x, y) moves to (y, -x), which can help determine its new quadrant.

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360 degrees.

Front

What are the two directions of rotation?

Back

The two directions of rotation are clockwise and counterclockwise.

Front

If a figure is rotated 90 degrees clockwise, what is the transformation rule?

Back

The transformation rule is (x, y) -> (y, -x).

Front

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

Back

The coordinates change from (x, y) to (-x, -y).

Front

How can you visualize a 270-degree rotation?

Back

A 270-degree rotation can be visualized as a 90-degree clockwise rotation.

Front

What is the image of the point (2, -3) after a 90-degree counterclockwise rotation?

Back

The image is (-3, -2).