8th Grade Math Rotations

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 is the center of rotation?

Back

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

Front

What does a 180° rotation look like?

Back

A 180° rotation flips a figure to the opposite side of the center of rotation, effectively turning it upside down.

Front

How do you find the coordinates of a point after a 180° rotation about the origin?

Back

To find the new coordinates (x', y') after a 180° rotation, use the formula: (x', y') = (-x, -y).

Front

What happens to the coordinates of a point (x, y) when it is rotated 90° clockwise?

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Front

What is the effect of a 90° counterclockwise rotation on the coordinates of a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Front

If triangle C is rotated 180° clockwise, how does its orientation change?

Back

The triangle will be flipped to the opposite side of the center of rotation, maintaining its shape and size.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the same direction as the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Front

How can you visualize a rotation transformation?

Back

You can visualize a rotation by imagining turning a shape around a point, like spinning a wheel.

Front

What is the significance of the origin in rotation transformations?

Back

The origin (0, 0) is often used as a common center of rotation in coordinate geometry, simplifying calculations.