What is translation in math?

Look at bottom comment

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. The rust-colored item is the pre-image, and the blue item is the image.

B.

Step-by-step explanation:

Yes, because the product of their slopes are -1. Rest explanation in the attached file. Hope it helps :)