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 specified 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 do you rotate a point 90 degrees clockwise around the origin?

Back

To rotate a point (x, y) 90 degrees clockwise, the new coordinates will be (y, -x).

Front

What are the coordinates of the point (3, 4) after a 180-degree rotation around the origin?

Back

The coordinates will be (-3, -4).

Front

What is the rule for rotating a point 270 degrees counterclockwise?

Back

To rotate a point (x, y) 270 degrees counterclockwise, the new coordinates will be (y, -x).

Front

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

Back

The coordinates of the point (x, y) become (-x, -y).

Front

If a point is rotated 90 degrees counterclockwise, what is the transformation rule?

Back

The transformation rule is (x, y) → (-y, x).

Front

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

Back

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

Front

How do you determine the image of a point after a rotation?

Back

To determine the image of a point after a rotation, apply the appropriate transformation rule based on the angle and direction of rotation.

Front

What is the image of the point (-5, 8) after a 180-degree rotation around the origin?

Back

The image will be (5, -8).