3-27-25 Flashcard on Rotation (Transformation)

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 are the coordinates of a point after a 90° clockwise rotation around the origin?

Back

If a point (x, y) is rotated 90° clockwise, its new coordinates will be (y, -x).

Front

What are the coordinates of a point after a 270° counterclockwise rotation around the origin?

Back

If a point (x, y) is rotated 270° counterclockwise, its new coordinates will be (-y, x).

Front

How do you determine the new coordinates of a point after a rotation?

Back

To find the new coordinates after rotation, apply the appropriate rotation rules based on the angle and direction of 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 happens to the shape of a figure during a rotation?

Back

The shape and size of the figure remain unchanged during a rotation; only its position changes.

Front

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

Back

After a 180° rotation, the new coordinates of the point (x, y) will be (-x, -y).

Front

How can you visualize a rotation transformation?

Back

You can visualize a rotation by drawing the original figure, marking the center of rotation, and then sketching the new position of the figure after the specified rotation.

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

What is the significance of the angle of rotation?

Back

The angle of rotation determines how far the figure is turned around the center of rotation.