Congruency, Enlargement and Combined Transformations
Translation
A transformation that slides every point of a shape the same distance and direction.
| English | Translation |
|---|---|
| Bahasa Melayu | Translasi |
| 中文 | 平移 |
How it is used
Translate the point B(1, 2) by the vector (4, −3). The image is B′(5, −1), because you add 4 to the x-coordinate and subtract 3 from the y-coordinate.
Where it shows up in SPM
An isometric transformation in this Form 5 chapter, described by a column vector. Paper 2 asks you to draw a translated image or to state the translation vector between an object and image.
It is often the second step of a combined transformation.
Don't confuse it with
Open the chapter: Congruency, Enlargement and Combined Transformations →
Frequently asked questions
How do I write a translation vector?
Write it as a column with the horizontal move on top and the vertical move below. Moving 4 right and 3 down is written as the vector (4, −3), with a positive top for right and a negative bottom for down.
How do I find the vector between an object and its image?
Subtract the object coordinates from the matching image coordinates. If A(1, 2) maps to A′(5, −1), the vector is (5 − 1, −1 − 2) = (4, −3).
Check with a second point to be sure it is a translation.