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## CCSS.Math.Content.8.G.B.6 - Explain a proof of the Pythagorean Theorem and its converse.

Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

Title: CCSS.Math.Content.8.G.B.6 Explain A Proof Of The Pythagorean Theorem And Its Converse. Geometry - 8th Grade Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

(Page last edited 07/25/2017)

1. Converse of Pythagoras' Theorem - Explanation and a way to prove the converse
2. Demonstrate the Pythagorean Theorem - From NOVA
3. Hotmath Practice Problems - 3 practice problems with solutions, topic: the Pythagorean Theorem and its converse
4. Interactive Proof of Pythagoras' theorem - This Java applet was written by Jim Morey. It won grand prize in Sun Microsystem's Java programming contest in the Summer of 1995.
5. Proof of the theorem - Demonstrated through a Quicktime animation.
6. Pythagorean Explorer - Students find the length of a side of a right triangle by using the Pythagorean Theorem, and then check their answers.
7. Pythagorean Theorem - Five question multiple-choice quiz from Glencoe Math
8. Pythagorean Theorem - Its many proofs (43 to be precise)
9. Pythagorean Theorem - Nineteen applets
10. Pythagorean Theorem - Discover how the Pythagorean Formula describes the relationships between the lengths of the legs and hypotenuse of a right triangle. Work through the lesson, experiment with the interactive figure and then answer five questions. [caution: do not submit until you have selected answers to all of the questions]
11. Pythagorean Theorem - Animated Proof of the Pythagorean Theorem
12. Pythagorean Theorem and its Converse - Explanation from Cliffs Notes
13. Pythagorean theorem and right triangle facts - Given the length of three sides, determine if a right triangle is being described [8 questions]
14. Pythagorean Theorem Converse - Math help from the University of Georgia
15. Pythagorean Theorem: 1 - A java applet that allows students to investigate this theorem.
16. Pythagorean Theorem: 2 - A java applet that allows students to investigate this theorem.
17. Pythagorean Theorem: Why Use the Converse? - From Ask Dr. Math
18. Similar Triangles and the Pythagorean theorem - From Dave's Short Trig Course
19. Solving a right triangle - This example illustrates how finding the height of the pyramid is equivalent to solving the right triangle. The virtual reality media can help students visualize the interrelation between the 3-dimensional pyramid and the 2-dimensional right triangle.
20. Squaring the Triangle - Students learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
21. Squaring the Triangle - Learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
22. The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - Practice activities
23. Using the Pythagorean Theorem - Once you know the equation a2 + b2 = c2 is true, then you can use it to solve all kinds of problems. Try the Pythagorean theorem with two other examples given on this page.

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