POTW: Beginning Proof – Angle Bisector

I have been slacking on this lately so here is hoping I can pick right up and keep going…

What this is: I am going to highlight problems I used with my honors geometry students that I thought were valuable. You can see all posts in this series here.

How I used it: This was a question we completed in class together as students were practicing proofs.

What is it: This involves students using the congruent complements theorem and angle bisector definition.

Why I like it: My students were tripped up about how to prove something is an angle bisector since they had to use the converse to the definition of an angle bisector (which I make my students write everything in if-then form at the moment). It was great discussion about how to use it and since it was our first problem that involved using a converse, now many are much more careful in checking.

Let me know if you used this and how it went!