Geometry Monday Warm-Ups Discussion/Notes/Guided Practice

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The Pythagorean Theorem and its Converse

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Geometry Monday 3-2-15 Warm-Ups Discussion/Notes/Guided Practice Check in and discuss Radicals Review Discussion/Notes/Guided Practice Section 7.2: The Pythagorean Theorem Assignment A#7.2 page 354 #12 – 42 evens Identify and use the Pythagorean Theorem Identify and use the converse of the Pythagorean Theorem Q&A Guided Practice Homework Success Criteria: This Week in Geometry: Tues: No School; Juniors only for ACT Testing Wed: Late Start; Juniors AM; everyone else 10:54 for hours 4, 5, 6 Thurs: Practice 7.2/7.3 Fri: QUIZ 7.2/7.3 Today is “Old Stuff” Day

You’re locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 10 feet from the house. What length of ladder do you need to reach the window?

7-2 The Pythagorean Theorem and Its Converse Most of the information about Pythagoras was written centuries after he lived, so very little is known about him. Some question whether he contributed much to mathematics because of the secretive nature of his school. It was the custom of its students to attribute everything to their teacher. Many accomplishments credited to Pythagoras, including the Pythagorean theorem, may have actually been accomplishments of his colleagues and successors.

Which would you rather have…

The Pythagorean Theorem Proof!

The Pythagorean Theorem – Example 1

Converse of Pythagorean Theorem

Example #2

Pythagorean Triple Three whole numbers that satisfy the equation 𝑎 2 + 𝑏 2 = 𝑐 2 . Example: 8, 15, 17

Determine whether each set of measures are the sides of a right triangle. Then state whether they form a Pythagorean Triple 9, 12, 15 4 3 , 4, 8 21, 42, 54

A#7.2 page 354 #12 – 42 evens