Disco geo ch 9

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Overview of Discovering Geometry Chapter 9 - The Pythagorean Theorem

Transcript of Disco geo ch 9

Page 1: Disco geo ch 9

The Pythagorean TheoremChapter 9

Page 2: Disco geo ch 9

The Pythagorean TheoremChapter 9

9.1 The Theorem of PythagorasIf you have a right triangle, then a2 + b2 = c2.

Page 3: Disco geo ch 9

The Pythagorean TheoremChapter 9

9.1 The Theorem of PythagorasIf you have a right triangle, then a2 + b2 = c2.

9.2 The Converse of the Pythagorean TheoremIf a2 + b2 = c2, then you have a right triangle.

Page 4: Disco geo ch 9

The Pythagorean TheoremChapter 9

9.1 The Theorem of PythagorasIf you have a right triangle, then a2 + b2 = c2.

9.2 The Converse of the Pythagorean TheoremIf a2 + b2 = c2, then you have a right triangle.

Page 5: Disco geo ch 9

The Pythagorean TheoremChapter 9

9.1 The Theorem of PythagorasIf you have a right triangle, then a2 + b2 = c2.

9.2 The Converse of the Pythagorean TheoremIf a2 + b2 = c2, then you have a right triangle.

If and only if(iff)

Page 6: Disco geo ch 9

The Pythagorean TheoremChapter 9

9.1 The Theorem of PythagorasIf you have a right triangle, then a2 + b2 = c2.

9.2 The Converse of the Pythagorean TheoremIf a2 + b2 = c2, then you have a right triangle.

9.3 Two Special Right Triangles30 – 60 – 90 and 45 – 45 (isosceles)

If and only if(iff)

Page 7: Disco geo ch 9

The Pythagorean TheoremChapter 9

9.1 The Theorem of PythagorasIf you have a right triangle, then a2 + b2 = c2.

9.2 The Converse of the Pythagorean TheoremIf a2 + b2 = c2, then you have a right triangle.

9.3 Two Special Right Triangles30 – 60 – 90 and 45 – 45 (isosceles)

9.4 Story Problems (application)

If and only if(iff)

Page 8: Disco geo ch 9

The Pythagorean TheoremChapter 9

9.1 The Theorem of PythagorasIf you have a right triangle, then a2 + b2 = c2.

9.2 The Converse of the Pythagorean TheoremIf a2 + b2 = c2, then you have a right triangle.

9.3 Two Special Right Triangles30 – 60 – 90 and 45 – 45 (isosceles)

9.4 Story Problems (application)9.5 Distance in Coordinate Geometry (application)

If and only if(iff)

Page 9: Disco geo ch 9

The Pythagorean TheoremChapter 9

9.1 The Theorem of PythagorasIf you have a right triangle, then a2 + b2 = c2.

9.2 The Converse of the Pythagorean TheoremIf a2 + b2 = c2, then you have a right triangle.

9.3 Two Special Right Triangles30 – 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)

Page 10: Disco geo ch 9

The Pythagorean TheoremChapter 9

9.1 The Theorem of PythagorasIf you have a right triangle, then a2 + b2 = c2.

9.2 The Converse of the Pythagorean TheoremIf a2 + b2 = c2, then you have a right triangle.

9.3 Two Special Right Triangles30 – 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 radiusAngle inscribed in semicircle

If and only if(iff)