What is Translation?
Translation is just a slide. It’s where you take a shape and you slide it.
Generally all of your points are going to move unless you are not moving it at all. So here we’re going to translate trapezoid ABCD one unit right and two units down. So that means we’re going to slide this trapezoid and thus each one of its points one unit to the right and two units down. Let’s start with point A. Point A is at the order of perrin negative 3 zero and we need to move it one unit to the right so that would be at negative 2 and then 2 units down so we would be at negative 2 negative 2 for our slide. So negative 2 negative 2 that’s where our new Point A is after we have moved it one unit to the right and 2 units down. We’re at negative 2 negative 2.
Next, we’ll move B. You can move any of the points. I’m just going to go in alphabetical order so next I’m going to take point B is at negative 1, 3 and I’m going to slide it or or translate it one unit to the right so it’s at negative 1 now. I’m going to move it 1 unit to the right so it’ll be on zero and then 2 units down we’d be at 1 so over zero up 1, is our new point for B. Now for C. C is at 1, 3 and again I’m going to move it 1 unit to the right and over to 2 — 1 unit to the right and then 2 units down. So from here it’s moving 2 down so it would be at 2, 1. Over 2 up 1. And that’s our new position for C and finally we have D and D is at 3, zero so again I’m going to move it 1 unit to the right so from 3 it will move over to 4 and then I need to move it 2 units down. It’s at 4 and I’m going to move it down to negative 2 so over 4 and down to negative 2. There’s our Point D and we have our new trapezoid that has been translated 1 unit to the right and 2 units down so you can see it’s still the same shape it’s just been moved to a coordinate plane.