Rotations on the Coordinate Plane (8th)

Front

What is a rotation on the coordinate plane?

Back

A rotation on the coordinate plane is a transformation that turns a figure around a fixed point, called the center of rotation, by a specified angle in a specified direction.

Front

What is the center of rotation in a coordinate plane?

Back

The center of rotation is the fixed point around which a figure is rotated. In most cases, this point is the origin (0,0).

Front

How do you rotate a point 90° clockwise around the origin?

Back

To rotate a point (x, y) 90° clockwise, use the rule: (x, y) → (y, -x).

Front

How do you rotate a point 90° counterclockwise around the origin?

Back

To rotate a point (x, y) 90° counterclockwise, use the rule: (x, y) → (-y, x).

Front

What is the rule for rotating a point 180° around the origin?

Back

To rotate a point (x, y) 180° around the origin, use the rule: (x, y) → (-x, -y).

Front

What is the image of the point (3, 4) after a 270° counterclockwise rotation?

Back

The image of the point (3, 4) after a 270° counterclockwise rotation is (4, -3).

Front

What is the image of the point (-2, -5) after a 90° clockwise rotation?

Back

The image of the point (-2, -5) after a 90° clockwise rotation is (-5, 2).

Front

If a point (x, y) is rotated 360°, what is its image?

Back

The image of the point (x, y) after a 360° rotation is (x, y).

Front

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

Back

When a point (x, y) is rotated 180°, its coordinates change to (-x, -y).

Front

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

Back

The angle of rotation can be determined by measuring the angle formed between the original position of the figure and its new position, with the center of rotation as the vertex.