It will consist of algebra only. Don't make a 2-column proof.
You have a GIVEN and PROVE.
For the given, just draw a right triangle and label the legs a and b, and the hypotenuse c. Draw the altitude from the right angle. Label the 2 sides of the hypotenuse x and y. The diagram should look like the one that was the model for theorem 2.
The prove statement is basically that a squared plus b squared equals c squared.
The proof is all algebra. You need to start with proportions based on theorem 2. Remember you are allowed to cross-multiply proportions, add equations, substitute (HINT: x + y = c). All of these algebraic moves will allow you to eventually get that a squared plus b squared equals c squared.
Today we warmed-up with page 404 #48-50, 52-56. It was collected. They are review problems. Then we went over the HW from Friday.
We also wrote in our notes the Pythagorean Theorem. NOTE: you need to memorize it word for word for your next test.
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