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6.5 Proving the Pythagorean Theorem.  Objectives  Prove the Pythagorean Theorem using similar triangles  Prove the Converse of the Pythagorean Theorem.

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Presentation on theme: "6.5 Proving the Pythagorean Theorem.  Objectives  Prove the Pythagorean Theorem using similar triangles  Prove the Converse of the Pythagorean Theorem."— Presentation transcript:

1 6.5 Proving the Pythagorean Theorem

2  Objectives  Prove the Pythagorean Theorem using similar triangles  Prove the Converse of the Pythagorean Theorem using algebraic reasoning

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5  Collaborate 1-9 (8 Minutes)  Draw the altitude in #1 instead of constructing  Volunteer to show all steps 1-9 on projector?

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8  Collaborate 1-3 (3 Minutes)  http://sunsite.univie.ac.at/MathAnim/pythan im/pythanim.gif http://sunsite.univie.ac.at/MathAnim/pythan im/pythanim.gif

9  Together #4

10  Collaborate 1-9 (6 Minutes)

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12  Assignment 6.4 Handout  Pg. 117-120 (1, 2, 4, 5, 8-10)  Assignment 6.5 Handout  Pg. 121-123 (1-2) “Proofs”  Prove the Pythagorean Theorem multiple ways


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