Meaning of Translation
Translation is a transformation that slides a shape from one position to another without rotating or flipping it.
It is represented using a column vector:
\binom{a}{b}Where:
- a = movement horizontally (+ right, − left)
- b = movement vertically (+ up, − down)
Worked Example 1
Translate point A(2, 3) by
\binom{4}{-2}
New point:
(2+4,;3-2) = (6,1)
Worked Example 2
Triangle ABC with coordinates:
A(2,5), B(5,1), C(2,1)
Translate by
\binom{-6}{-6}
New coordinates:
- P(-4, -1)
- Q(-5, -1)
- R(-4, -5)