8.3- 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 specified angle in a specified direction.

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

The effect of a 180° rotation on a point (x, y) is given by the transformation (x, y) → (-x, -y).

Front

How is a 180° clockwise rotation related to counterclockwise rotation?

Back

A 180° clockwise rotation is the same as a 180° counterclockwise rotation.

Front

What is the center of rotation?

Back

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

Front

What is the difference between clockwise and counterclockwise rotation?

Back

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

Front

If point A is at (2, 3), where will it be after a 180° rotation?

Back

After a 180° rotation, point A at (2, 3) will be at (-2, -3).

Front

What is the sequence of transformations to rotate a shape?

Back

To rotate a shape, you can first translate it to the center of rotation, then apply the rotation, and finally translate it back.

Front

What does a 90° clockwise rotation do to the coordinates (x, y)?

Back

A 90° clockwise rotation transforms (x, y) to (y, -x).

Front

What does a 270° clockwise rotation do to the coordinates (x, y)?

Back

A 270° clockwise rotation transforms (x, y) to (-y, x).

Front

How can you determine the angle of rotation from a given transformation?

Back

You can determine the angle of rotation by analyzing the change in position of points before and after the transformation.