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 happens to the coordinates of a point (x, y) when it is rotated 90° counterclockwise about the origin?

Back

The new coordinates become (-y, x).

Front

What happens to the coordinates of a point (x, y) when it is rotated 180° about the origin?

Back

The new coordinates become (-x, -y).

Front

What happens to the coordinates of a point (x, y) when it is rotated 270° counterclockwise about the origin?

Back

The new coordinates become (y, -x).

Front

If point A(3, 4) is rotated 90° counterclockwise about the origin, what are the new coordinates of A'?

Back

A' will be (-4, 3).

Front

If point B(-2, 5) is rotated 180° about the origin, what are the new coordinates of B'?

Back

B' will be (2, -5).

Front

What is the effect of a 360° rotation on a figure?

Back

A 360° rotation results in the figure being in the same position as it started.

Front

Identify the transformation: A figure is turned 90° clockwise about the origin. What is this transformation called?

Back

90° Clockwise Rotation.

Front

What is the center of rotation?

Back

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

Front

If a point is at (0, 0), what will its coordinates be after any rotation?

Back

The coordinates will remain (0, 0) regardless of the angle of rotation.