Rotations on a Coordinate Plane Practice

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific direction.

Front

What are the coordinates of a point after a 90° counterclockwise rotation around the origin?

Back

If a point has coordinates (x, y), after a 90° counterclockwise rotation, the new coordinates will be (-y, x).

Front

What are the coordinates of a point after a 180° rotation around the origin?

Back

If a point has coordinates (x, y), after a 180° rotation, the new coordinates will be (-x, -y).

Front

What are the coordinates of a point after a 270° counterclockwise rotation around the origin?

Back

If a point has coordinates (x, y), after a 270° counterclockwise rotation, the new coordinates will be (y, -x).

Front

How do you determine the image of a point after a rotation?

Back

To determine the image of a point after a rotation, apply the appropriate rotation rule based on the angle and direction of rotation.

Front

What is the center of rotation?

Back

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

Front

What happens to the coordinates of a point when it is rotated 90° clockwise around the origin?

Back

If a point has coordinates (x, y), after a 90° clockwise rotation, the new coordinates will be (y, -x).

Front

If point A is at (3, 4), what are the coordinates of A' after a 180° rotation?

Back

A' will be at (-3, -4) after a 180° rotation.

Front

What is the effect of rotating a point 360° around the origin?

Back

Rotating a point 360° around the origin results in the point returning to its original position.

Front

What is the relationship between the angles of rotation and the direction of rotation?

Back

Counterclockwise rotations are considered positive angles, while clockwise rotations are considered negative angles.