Pythagorean Project (Rachel & Irina)

3 Comments

1. 

   Kate Poirier

   November 23, 2022 at 3:25 pm

   Thanks for posting your proof, Rachel and Irina. I see only an audio file, not a video. Also, your Geogebra file doesn’t pass the drag test. Let me know if you’d like to set up an appointment to go over some Geogebra tricks and tips that should help so you can resubmit.

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2. 

   Kate Poirier

   November 28, 2022 at 4:02 pm

   Hi Rachel and Irina. I haven’t read your full proof, but I did take a look at the figures that went along with proof #4 and recreated one in Geogebra. Try dragging the blue points around; you’ll see that the relationships among points and lines are maintained.

   If you click on the “algebra” pane on the left side of the screen, you’ll be able to see step-by-step how I constructed the Geogebra elements. Today when we were talking I guessed that there’d probably have to be some hidden intermediate ones and I was right. Let’s talk about how you can put together a file like this to use when you record your video.

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3. 

   Kate Poirier

   December 7, 2022 at 3:32 pm

   Nice work, Irina and Rachel. It took some time, but you got the Geogebra eventually! One issue is that in your written work, you say that you’re starting with four similar triangles. In your video, you mention that the triangles are in fact *congruent* and all *right* triangles… this is very important! If you just start off with four similar triangles, you won’t get that nice little square when you rotate them and put them together.

   Since your proof was a tiny bit different from what I showed in class on Monday, I just looked back at the original Proof #4 and see that actually you presented Proof #3. Proof #4 is actually pretty short and the Geogebra file that we created can be used for a third proof that combines Proof #3 and Proof #4.

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