Translation

In geometry, a translation is a transformation that slides a figure from one position to another without turning, resizing, or flipping it. Every point of the shape moves the exact same distance and in the exact same direction.

Example

A point $P(x, y)$ translated by a vector $\begin{pmatrix} a \\ b \end{pmatrix}$ moves to a new position $P'(x+a, y+b)$. If you translate the point $(2, 3)$ to the right by $4$ units and up by $1$ unit, the new point becomes $(6, 4)$.

See Also

• Reflection
• Rotation
• Transformation