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 center of rotation?

Back

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

Front

What does a 90° clockwise rotation do to a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

What does a 90° counterclockwise rotation do to a point (x, y)?

Back

A 90° counterclockwise rotation transforms the point (x, y) to (-y, x).

Front

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

Back

A 180° rotation transforms the point (x, y) to (-x, -y).

Front

What is the result of a 270° clockwise rotation on a point (x, y)?

Back

A 270° clockwise rotation transforms the point (x, y) to (-y, x).

Front

If a figure is rotated 360°, what happens to it?

Back

A 360° rotation returns the figure to its original position.

Front

How do you determine the angle of rotation from one point to another?

Back

The angle of rotation can be determined by measuring the angle formed between the original position and the new position of the point, with respect to the center of rotation.

Front

What is the effect of rotating a figure about the origin?

Back

Rotating a figure about the origin changes the coordinates of the points based on the angle of rotation.

Front

If point A(3, 4) is rotated 90° clockwise about the origin, what are the new coordinates?

Back

The new coordinates of point A after a 90° clockwise rotation are (4, -3).