A translation is a transformation where all points move the same distance and in the same direction.
Vectors and Translations
Translations can be represented by vectors.
The blue rectangle is translated by the vector .
In general= where x is the horizontal (across) movement and y is the vertical (up and down) movement.
Properties of Translation
Triangle PQR maps to triangle P´Q´R´ under the translation
There are no invariant points, except for the translation
Translation is a direct transformation.
i.e. PQR and P´Q´R´ are both anticlockwise.
Translation is an isometry.
i.e. PQR is congruent to P´Q´R´
To see examples of translations −
