A glide reflection contains a translation but it is not a synonym for translation therefore, the statement is. A translation is a rigid motion describing when a object is moved a certain distance. Every reflection has a mirror line.Ī glide reflection is a mirror reflection followed by a translation parallel to the mirror. A glide reflection is a rigid motion that occurs when a figure is translated a certain distance and then reflected or reflected and then translated. Every rotation has a rotocenter and an angle.Ī reflection fixes a mirror line in the plane and exchanges points from one side of the line with points on the other side of the mirror at the same distance from the mirror.

Every translation has a direction and a distance.Ī rotation fixes one point (the rotocenter) and everything rotates by the same amount around that point. The concept of bilateral reflection symmetry to curved glide-reflection symmetry in 2D euclidean space is generalized, such that classic reflection symmetry. In a translation, everything is moved by the same amount and in the same direction. symmetry group set of transformations that leave an object invariant (looking exactly the same - same position, size, and orientation - before and after the transformation) order of symmetry group number of transformations in the group. There are four types of rigid motions that we will consider: translation, rotation, reflection, and glide reflection. Any way of moving all the points in the plane such thatĪ) the relative distance between points stays the same andī) the relative position of the points stays the same.

Glide reflection vs reflection