(20 points + brainliest)  how would you explain your translation movement to a younger sibling or someone new to geometry? how is that movement different from a rotation and reflection?

In a translation, every point of the object must be moved in the same direction and for the same distance.  

When you are performing a translation, the initial object is called the pre-image, and the object after the translation is called the image. So, in the picture above, the rust-colored item is the pre-image, and the blue item is the image. We know this because the arrow tells us the direction in which the image was moved. For other images, you might be told which image is the pre-image, or you might be asked to find either the pre-image from the image, or vice versa. 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.

answer:

c. the third graph