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 certain angle in a specific direction.

Front

What is the angle of rotation for a 180° rotation?

Back

A 180° rotation turns a figure halfway around the center of rotation, resulting in the figure being flipped to the opposite side.

Front

What is the rule for rotating a point 90° counterclockwise?

Back

The rule for rotating a point (x, y) 90° counterclockwise is (x, y) --> (-y, x).

Front

What is the rule for rotating a point 180°?

Back

The rule for rotating a point (x, y) 180° is (x, y) --> (-x, -y).

Front

What is the rule for rotating a point 90° clockwise?

Back

The rule for rotating a point (x, y) 90° clockwise is (x, y) --> (y, -x).

Front

How do you determine the center of rotation?

Back

The center of rotation is the fixed point around which the figure rotates. It can be any point in the plane.

Front

What happens to the coordinates of a point when it is rotated 90° counterclockwise?

Back

The coordinates of a point (x, y) become (-y, x) after a 90° counterclockwise rotation.

Front

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

Back

The coordinates of a point (x, y) become (-x, -y) after a 180° rotation.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line, creating a mirror image.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, including rotations, translations, and reflections.