rotations

Front

What is a rotation in geometry?

Back

A rotation is a circular movement of a figure around a fixed point called the center of rotation.

Front

What is the center of rotation?

Back

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

Front

How many degrees are in a full rotation?

Back

A full rotation is 360 degrees.

Front

What does a 90-degree clockwise rotation do to a point (x, y)?

Back

It transforms the point to (y, -x).

Front

What does a 90-degree counterclockwise rotation do to a point (x, y)?

Back

It transforms the point to (-y, x).

Front

What is the algebraic representation for a 180-degree rotation?

Back

(x, y) ----> (-x, -y).

Front

What is the difference between rotation and translation?

Back

Rotation turns a figure around a point, while translation slides a figure to a different position without changing its orientation.

Front

What is an example of a rotation in real life?

Back

The hands of a clock rotating around the center.

Front

What happens to the orientation of a figure after a 180-degree rotation?

Back

The orientation of the figure is reversed.

Front

If a point (3, 4) is rotated 90 degrees clockwise, what is the new position?

Back

The new position is (4, -3).