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 is the center of rotation?

Back

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

Front

What does a 90 degrees counterclockwise rotation look like?

Back

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

Front

What is the result of rotating the point (x, y) 180 degrees around the origin?

Back

The result is (-x, -y).

Front

How do you determine the new coordinates after a 270 degrees counterclockwise rotation?

Back

To find the new coordinates after a 270 degrees counterclockwise rotation, switch the coordinates and change the sign of the new x-coordinate: (y, -x).

Front

What is the effect of a 180 degrees rotation on a figure?

Back

A 180 degrees rotation flips the figure to the opposite side of the center of rotation.

Front

If a point is rotated 90 degrees clockwise, what is the transformation rule?

Back

The transformation rule is (x, y) becomes (y, -x).

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360 degrees.

Front

How do you rotate a point (a, b) 90 degrees counterclockwise?

Back

The new coordinates after a 90 degrees counterclockwise rotation are (-b, a).

Front

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

Back

The coordinates of the point are negated: (x, y) becomes (-x, -y).