In case you missed it I gave my Geometry class this at the end of the period on Monday.

It didn’t go over very well and that piece has been bothering me for the last couple days.

I am not expecting to come up with the magical fix to making this sorta question great. However, I want to use this post to look at what I was trying to get at in this problem and where it went wrong.

Let’s start by looking at the objectives I had in mind with this thing

**Position a figure in a coordinate plane.****Prove a geometric concept by using coordinate proof.**

To proves this students need to know one or more of the following

**Definition of a rectangle****Distance****Formula****Slope**

A majority of the struggle probably came from the definition of a rectangle. When thinking about this I immediately jumped to proving lines perpendicular and congruent distances. A lot of my students were still stuck in the two column proof mindset.

There isn’t really anything groundbreaking in proving a shape is a rectangle. For some reason I was expecting this problem to challenge student’s thinking and encourage them never to just jump to conclusions about a shape.

What I am really interested in though is how to re-vamp this problem to meet the same objectives but approach them from a different angle.

The first type of problem that comes to my mind appears in my Fence Problem Part II post.

I am still working on how exactly this problem could be modified into a rectangle… But hey, it doesn’t necessarily have to be a rectangle.

Feel free to share your suggestions/comments, I would love some input!