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 specified direction (clockwise or counterclockwise).

Front

What is the degree of rotation for a 90 degrees counterclockwise rotation?

Back

A 90 degrees counterclockwise rotation turns a point or figure 90 degrees to the left around the origin.

Front

What is the degree of rotation for a 180 degrees rotation?

Back

A 180 degrees rotation turns a point or figure upside down around the origin.

Front

What is the degree of rotation for a 270 degrees counterclockwise rotation?

Back

A 270 degrees counterclockwise rotation is equivalent to a 90 degrees clockwise rotation.

Front

What is the rule for rotating a point (x, y) 90 degrees clockwise?

Back

The rule for rotating a point (x, y) 90 degrees clockwise is (y, -x).

Front

What is the rule for rotating a point (x, y) 180 degrees?

Back

The rule for rotating a point (x, y) 180 degrees is (-x, -y).

Front

What is the rule for rotating a point (x, y) 270 degrees counterclockwise?

Back

The rule for rotating a point (x, y) 270 degrees counterclockwise is (-y, x).

Front

If the point (3, 4) is rotated 180 degrees around the origin, what is the image of the point?

Back

The image of the point (3, 4) after a 180 degrees rotation is (-3, -4).

Front

If the point (-5, 8) is rotated 90 degrees counterclockwise, what is the image of the point?

Back

The image of the point (-5, 8) after a 90 degrees counterclockwise rotation is (-8, -5).

Front

What is the image of the point (-9, 1) after a 90 degrees clockwise rotation?

Back

The image of the point (-9, 1) after a 90 degrees clockwise rotation is (1, 9).