### Theory:

Translational symmetry:
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.