A symmetry is said to be translational when an object moves along a definite direction without a change in its orientation.
The movement can be horizontal and vertical.
The change in movement can be denoted using arrows.
Rightward movement: \(→\)
Leftward movement: \(←\)
Upward movement: \(↑\)
Downward movement: \(↓\)
Let us look at the following example:
Translate the following to \(5→\) and \(2↓\).
Let us analyze the image given above in detail.
1. The image \(A'B'C'\) of the pre-image \(ABC\) is moved to its right by \(5\) units.
2. The image is now further moved downwards by \(2\) units.