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81 Pythagorean Theorem and its Converse 2011 1 January 28, 2011 8-1 Pythagorean Theorem and its Converse Objective: Understand and apply the Pythagorean Theorem and its Converse.
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8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

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Page 1: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

8-1 Pythagorean Theorem and its Converse

Objective:Understand and apply the Pythagorean Theorem and its Converse.

Page 2: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

Check Skills You'll NeedWork on this problem for 2 minutes alone.Then work for 2 minutes with your partner.

a)  62                            b)  6  2

What is the difference between problems a and b?

Page 3: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

What do we THINK we know about the Pythagorean Theorem?

Page 4: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

Pythagorean Puzzle• Take out your puzzle pieces.• Follow instructions from the teacher.

Page 5: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

Page 6: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

Spin it

Page 7: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

Applying the Pythagorean Theorem.

3

4 ?

12

13

?

Page 8: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

Recap:

What do we NEED to know about the Pythagorean Theorem?

Page 9: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

Is it true?

Converse of the Pythagorean Theorem

If______________________Then___________________

Yup

Page 10: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011

Applying the Converse of the Pythagorean Theorem.

If a triangle has an 8 foot leg, a 15 foot leg, and a 17 foot long hypotenuse, is it a right

triangle?

Page 11: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

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January 28, 2011

HOMEWORKpg. 420 #1­9, 16­20, 27, 29, 49

Page 12: 8-1 Pythagorean Theorem and its Converse 2011 · 81 Pythagorean Theorem and its Converse 2011 10 January 28, 2011 Applying the Converse of the Pythagorean Theorem. If a triangle has

8­1 Pythagorean Theorem and its Converse 2011

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January 28, 2011