Transformations: Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle in a specified direction.

Front

What are the coordinates of point V after a clockwise rotation of 90 degrees?

Back

V' (-1, -1)

Front

How do you perform a clockwise rotation of 90 degrees on a point (x, y)?

Back

The transformation is given by (x, y) → (y, -x).

Front

What is the result of rotating point U (1, 3) clockwise by 90 degrees?

Back

U' (-3, 1)

Front

What are the coordinates of point Y after a clockwise rotation of 90 degrees?

Back

Y' (-2, -3)

Front

What is the general formula for rotating a point (x, y) counterclockwise by 90 degrees?

Back

The transformation is given by (x, y) → (-y, x).

Front

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

Back

The coordinates of the point (x, y) become (-x, -y).

Front

What are the coordinates of point Q after a clockwise rotation of 90 degrees?

Back

Q' (2, 3)

Front

What is the center of rotation?

Back

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

Front

How do you determine the angle of rotation in a transformation?

Back

The angle of rotation is the measure of the turn from the original position of the figure to its new position.