A symmetry requires that the transformation not alter the size or shape of the object. A transformation that meets this requirement is known as an “isometry,” or a rigid motion, and the fundamental ...

On the other hand, for an arbitrary quadrilateral figure (which does not possess any symmetry) we would need to know four lengths and three angles (the fourth completes the sum of the angles to ...

What does this mean? Odds are, science says, it is some kind of vertically oriented polygon with reflectional symmetry. So just keep that in mind next time you’re picking a pattern.