Geo3.3 Rotations -Transformations

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 90° counterclockwise rotation do to a point (x, y)?

Back

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

Front

What does a 180° rotation do to a point (x, y)?

Back

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

Front

What does a 270° counterclockwise rotation do to a point (x, y)?

Back

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

Front

How can you determine the quadrant of a rotated point?

Back

By analyzing the signs of the coordinates after rotation: Quadrant I (positive, positive), II (negative, positive), III (negative, negative), IV (positive, negative).

Front

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

Back

A 360° rotation returns the figure to its original position.

Front

If a figure is rotated 90° clockwise, what is the new position of point (x, y)?

Back

The point (x, y) becomes (y, -x).

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360°.

Front

What is the relationship between clockwise and counterclockwise rotations?

Back

Clockwise rotations are in the direction of the hands of a clock, while counterclockwise rotations are in the opposite direction.