Overview of Discovering Geometry Chapter 9 - The Pythagorean Theorem

1. The Pythagorean Theorem Chapter 9

2. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 .

3. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle.

4. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle.

5. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. If and only if (iff)

6. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) If and only if (iff)

7. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) 9.4 Story Problems (application) If and only if (iff)

8. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) 9.4 Story Problems (application) 9.5 Distance in Coordinate Geometry (application) If and only if (iff)

9. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) 9.4 Story Problems (application) 9.5 Distance in Coordinate Geometry (application) 9.6 Circles and the Pythagorean Theorem (extension) If and only if (iff)

10. The Pythagorean Theorem Chapter 9 9.1 The Theorem of Pythagoras If you have a right triangle, then a 2 + b 2 = c 2 . 9.2 The Converse of the Pythagorean Theorem If a 2 + b 2 = c 2 , then you have a right triangle. 9.3 Two Special Right Triangles 30 – 60 – 90 and 45 – 45 (isosceles) 9.4 Story Problems (application) 9.5 Distance in Coordinate Geometry (application) 9.6 Circles and the Pythagorean Theorem (extension) Tangent perpendicular to radius Angle inscribed in semicircle If and only if (iff)