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 certain 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

How many degrees are in a full rotation?

Back

A full rotation is 360 degrees.

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

If a point (a, b) is rotated 270 degrees clockwise, what are the new coordinates?

Back

The new coordinates will be (b, -a).

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 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 image of the point (2, 3) after a 180-degree rotation about the origin?

Back

The image will be (-2, -3).