Finding the midpoint

We viewed a video about 4 boys who drew two points, and a point in the middle. After that, we had to guess which person had the closest point in the middle. Furthermore, we had to back up these facts with why. I thought it was Chris because I thought his looked a lot more accurate, while the others were less precise.

This is Chris's guess, except without the coordinates. (It comes later) 

In the beginning, if I would want to know the exact midpoint of each one, and who got the closest I would need to know a lot of things. I would want to know the coordinates of each point, and want to measure the distance between each point with a formula. After, we talked about which one would be closest to the middle and why. I was the only person who guessed Chris, and when asked why, I just said that it looked that way. Someone then contradicted me by saying that his was too spread out, and I agreed. 

Afterwards, Ms. Ange showed us the exact coordinates, angles, and lengths, and we had to figure out a way to find the exact midpoint. My first reaction was to look at each information given and just guess to see which one was most accurate. For example, which one had the straightest angle, and which measurements were the most even. Then, when we had access to the internet, I decided to find the midpoint formula, and plug each person's lengths into it. I would then compare and subtract the guess and the actual midpoints, and see which ones were the most accurate. I found that Andrew's and Nathan's were both equally accurate.