Translation

# Translation

GCSE(F), GCSE(H),

A Translation is a transformation that moves a shape. It does not turn, reflect or change the size of the shape.

Translations are given by a column vector. A column vector is a pair of numbers in brackets, one above the other.

The top number gives the movement in the horizontal, or x-direction, with positive values translating to the left. The lower number gives the movement in the vertical, or y-direction, with positive values translating up.

## Examples

1. What is the transformation that maps shape X onto shape Y?

Answer: ((8), (-5))

Choose a single vertex on the shape X, and determine how that point moves to shape Y.

The point moves 6 along, and 5 down.

This is a vector of ((8), (-5)). the down direction makes the Y-movement a negative value.

2. Translate the given shape A by a vector of ((-3), (5)).