| Term | Definition |
| transformation | a one-to-one correspondence between two sets of points (that lie on the edges of a preimage and an image) |
| translation | a transformation in which every point on the preimage moves in the same direction by the same amount to form the image |
| reflection | a transformation such that every point of the preimage is moved across a line (mirror line) |
| rotation | a transformation in which every point on the preimage is rotated by a given angle about a point (center of rotation) |
| dilation | a transformation in which a figure is reduced or enlarged |
| isometry | a transformation in which all lengths and angle measurements remain the same in the image and the preimage |
| mirror line | the line across which a reflection is performed |
| center of rotation | the point about which a rotation is performed |
| composite translation | the composite of two successive reflections across parallel lines |
| composite rotation | the composite of two successive reflections across intersecting lines |
| glide reflection | the composite of a translation and a reflection in a line parallel to the direction of the translation |
| magnitude of translation | length of segment connecting a preimage point to its corresponding image point |
| magnitude of rotation | measure of an angle with its vertex at the center of the rotation and rays that go through a preimage point and its corresponding image point |
| reflection symmetry | a property of a figure that coincides exactly with its reflection across the axis of symmetry |
| rotation symmetry | a property of a figure that can be rotated around the center of symmetry and still look exactly the same |
| axis of symmetry | a line that divides a figure into two halves that are reflections of each other |
| center of symmetry | the point in the center of a figure that has rotation symmetry |