What are the translation rules in geometry?

The original object and its translation have the same shape and size, and they face in the same direction. A translationcreates a figure that is congruent with the original figure and preserves distance (length) and orientation (lettering order). A translation is a direct isometry.

1 is to a because corresponding angles are located in the same location, comparative to each line.

2 is to d because one, they are on the same side of the transversal, and two, they are "facing" each other.

3 is to c because vertical angles are formed opposite to each other when two lines intersect, like shown.

4 is to b because they are on different sides of the transversal, and are "facing" each other.

5 is to e because they are not "facing" each other, and they are on different sides of the transversal.