Identifying 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.

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 look like?

Back

A 90° counterclockwise rotation turns a figure to the left, moving each point to a position that is 90 degrees away from its original position.

Front

What does a 180° rotation do to a figure?

Back

A 180° rotation flips a figure to the opposite side of the center of rotation, effectively turning it upside down.

Front

What is a 270° counterclockwise rotation equivalent to?

Back

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

Front

How do you determine the new coordinates after a 90° counterclockwise rotation?

Back

To find the new coordinates (x', y') after a 90° counterclockwise rotation, use the formula: (x', y') = (-y, x).

Front

How do you determine the new coordinates after a 180° rotation?

Back

To find the new coordinates (x', y') after a 180° rotation, use the formula: (x', y') = (-x, -y).

Front

How do you determine the new coordinates after a 270° counterclockwise rotation?

Back

To find the new coordinates (x', y') after a 270° counterclockwise rotation, use the formula: (x', y') = (y, -x).

Front

What are the three main angle rotations?

Back

The three main angle rotations are 90°, 180°, and 270°.

Front

If Triangle A is rotated 270° counterclockwise, what is the position of its vertices?

Back

The vertices of Triangle A will move to new positions based on the 270° counterclockwise rotation rules.