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Published byFrederick Pierce Modified over 9 years ago
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Warm Up The area of a circle is square feet. Find the perimeter of the circle in inches. 1. 2.A triangle’s sides are 24, 25 and 7. How long is the shortest “height” of the triangle?
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Coordinate plane Leg Hypotenuse Vocabulary A coordinate plane is a plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis). The location, or coordinates, of a point are given by an ordered pair (x, y). Who is the “father” of the coordinate plane?Rene DesCartes
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You can find the midpoint of a segment by using the coordinates of its endpoints. Calculate the average of the x-coordinates and the average of the y-coordinates of the endpoints. Find the coordinates of the midpoint of PQ with endpoints P(–8, 3) and Q(–2, 7). (-5, 5)
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M is the midpoint of AB. A has coordinates (2, 7) and M has coordinates (6, 1). Find the coordinates of B.
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What does the distance formula remind us of? Pythagorean Theorem
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Find FG and JK. The segments are not congruent
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I believe there are about 400 separate proofs of the Pythagorean theorem (including one written by a congressman who five years later became the President of the United States) … how times have changed.
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Theorem Notebook – Write the first theorem in your theorem notebook. Include title (Theorem 1-6-1 Pythagorean Theorem), write out the theorem, and give illustration(s). Instead of writing your own proof, I want you to get on the internet and copy a proof that you can UNDERSTAND into your notebook. Pick the version you like best!
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Lesson Quiz 3. Find the exact distance between the points S(6, 5) and T(–3, –4). Mentally estimate to nearest tenth. 4. The coordinates of the vertices of ∆ABC are A(2, 5), B(6, –2), and C(–4, –3). Without calculator, find the perimeter of ∆ABC to the nearest whole number. 1. Find the coordinates of the midpoint of MN with endpoints M(-2, 6) and N(8, 0). 2. K is the midpoint of segment HL. H has coordinates (1, –7), and K has coordinates (9, 3). Find the coordinates of L.
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Assignment today is page 47: 12-30 even, 33-41 and page 65: 1-5. Also, Pythagorean Theorem becomes the first entry in your theorem notebook. Remember that homework help is always available at http://www.thinkcentral.com/index.htm http://www.thinkcentral.com/index.htm Today’s keyword is “MG7 1-6”.
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