Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure about a fixed point, known as the center of rotation, through a specified angle and direction.

Front

What are the coordinates of a point (x, y) after a 90-degree counterclockwise rotation about the origin?

Back

The new coordinates will be (-y, x).

Front

What are the coordinates of a point (x, y) after a 90-degree clockwise rotation about the origin?

Back

The new coordinates will be (y, -x).

Front

What are the coordinates of a point (x, y) after a 180-degree rotation about the origin?

Back

The new coordinates will be (-x, -y).

Front

What are the coordinates of a point (x, y) after a 270-degree counterclockwise rotation about the origin?

Back

The new coordinates will be (y, -x).

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.

Front

What is the center of rotation?

Back

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

Front

If point (3, 4) is rotated 90 degrees counterclockwise about the origin, what are the new coordinates?

Back

The new coordinates are (-4, 3).

Front

If point (-2, -3) is rotated 180 degrees about the origin, what are the new coordinates?

Back

The new coordinates are (2, 3).

Front

What happens to the orientation of a figure when it is rotated 90 degrees clockwise?

Back

The orientation of the figure changes, and it appears to turn to the right.