Question

1- How are translations represented as a function?. . . 2- What is the relationship between a translation and a rigid motion?

Answer 1

(1). Every translation is a function of a direction and a distance, it is represented by a direction and a distance
(2). Translation is a form of rigid motion. it involves the action of moving an object to a different point without altering its shape and size. Reflection, rotation, translation and glide reflection are the four types of rigid motion that exist.

Answer 2

Explanation:

1. Translations are a function of distance and direction. It is mathematically represented by,

f( distance, displacement )

It is a form rigid motion.

2. Translation is one of the four form of rigid motions. In translation, every point on the object move by the same and equal amount in the same direction. This is nothing but a rigid motion as in rigid motion the objects moves to a different place without changing its shape and size.