Graded Assignment: 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 are the coordinates of a point after a 180° rotation about the origin?

Back

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

Front

What happens to the coordinates of a point (x, y) after a 90° clockwise rotation about the origin?

Back

The coordinates become (y, -x) after a 90° clockwise rotation.

Front

What happens to the coordinates of a point (x, y) after a 90° counterclockwise rotation about the origin?

Back

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

Front

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

Back

To determine the new position, apply the appropriate rotation rules for the angle and direction of rotation to the original coordinates.

Front

What is the center of rotation?

Back

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

Front

What is the effect of a 270° clockwise rotation on a point?

Back

A 270° clockwise rotation is equivalent to a 90° counterclockwise rotation.

Front

If triangle A is rotated 270° clockwise, how can you find its new position?

Back

Apply the rotation rules to each vertex of triangle A to find the new coordinates of the vertices.

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.

Front

What is the angle of rotation for a full turn?

Back

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