Geometry Camp

In mathematics, a line reflection is a reflection in a line. It is a type of involution (a mapping that is its own inverse).

In mathematics, the reflection of a point P across a line L is a point P' on the opposite side of L from P such that P' is equidistant from L and P.

In physics, rotation is a circular motion of an object around a center of rotation. A three-dimensional object always rotates around an imaginary line called a rotation axis. If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin. A rotation about an axis that passes through the head is called a "rotation of the head", or a "nodal rotation".

In mathematics, a rigid motion is a motion of a rigid body that leaves its orientation unchanged. A rigid motion can be described as a combination of rotations about different fixed points through a fixed angle.

In mathematics, a translation is a linear map that moves every point of a space by the same amount in a given direction. The simplest examples of translations are shifts, rotations, and reflections.

In geometry, a rigid motion is a rigid transformation (isometry) of space. This means that the translation of space is not allowed. A rigid motion is a transformation that takes a point to another point while keeping the line segment connecting the two points fixed. A rigid motion is an isometry.