![]() Because a rotation can go in two directions along the same arc we need to define positive and negative rotation values. One full rotation is 360°, this would return all points in the plane to their original location. TEACHER NOTE - Direction of rotation is a difficult for students to get correct. The center of rotation is the ONLY point in the plane that is unaffected by a rotation. If point P is NOT point O, then OP = OP’Ģ. Rays drawn from the center of rotation to a point and its image form an angle called the angle of rotationĪn object and its rotation are the same shape and size, but the figures may be turned in different directions.Ī rotation about a Point O through Θ degrees is an isometric transformation that maps every point P in the plane to a point P’, so that the following properties are true ġ. The pre-image (D) = image (D’) when the point is on the line of reflection.Ī rotation is an isometric transformation that turns a figure about a fixed point called the center of rotation. SPECIAL POINTS – Points on the line of reflection do not move at all under the reflection.This occurs because a reflection creates the mirror image. In DABC the points in a clockwise direction come in the order of A – B – C but in the image the points in a clockwise direction come in the order of A’ – C’ – B’. Orientation is the order of the points about the shape. ORIENTATION IS REVERSED – The pre-image has a reversed orientation than its image. ![]() Notice that because line m is the perpendicular to, and they are all parallel to each other. Points farther away from the line of reflection move a greater distance than those closer to the line of reflection.
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