Final answer:
The statement is true; when reflected twice over parallel lines, the orientation of a shape remains the same. This can be seen in corner reflectors where light is reflected parallel to its original direction, used in devices like binoculars and periscopes.
Step-by-step explanation:
The statement that when a shape is reflected twice over two parallel reflection lines the orientation stays the same is true. This phenomenon can be observed through the behavior of light rays. For instance, when a light ray hits an object consisting of two mutually perpendicular reflecting surfaces, also known as a corner reflector, the light is reflected back parallel to the direction it originated from. This parallel reflection occurs irrespective of the angle of incidence.
Thus, with two reflections, the orientation of the shape does not change from the original orientation. Examples of such reflections can be found in devices like binoculars and periscopes used in submarines.