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5.1 Midsegment Theorem and Coordinate Proof

5.1 Midsegment Theorem and Coordinate Proof. Learning Target : Students will be able to use properties of midsegments and write coordinate proofs. February 12, 2014. Ex 1: Use the Midsegment Theorem to Find Lengths. Theorem 5.1 Midsegment Theorem A midsegment connecting two sides

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5.1 Midsegment Theorem and Coordinate Proof

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  1. 5.1 Midsegment Theorem and Coordinate Proof Learning Target: Students will be able to use properties of midsegments and write coordinate proofs. February 12, 2014

  2. Ex 1: Use the Midsegment Theorem to Find Lengths Theorem 5.1 Midsegment Theorem A midsegment connecting two sides of a triangle is parallel to the third side and is half as long. Find the value of x. Here, P is the midpoint of AB, and Q is the midpoint of BC. So, is a midsegment.

  3. Ex 2: Use the Midsegment Theorem If AC = 3y – 5 and HJ = 4y + 2, what is HB? H HJ = 2AC AC = HB 4y + 2 = 2(3y – 5) HB = 3(6) – 5 A B HB = 13 4y + 2 = 6y – 10 12 = 2y J G C 6 = y

  4. Guided Practice DE is the midsegment of ΔABC. Find the value of x. B D 22 x A C E

  5. Assignment Pg. 298 #1, 4, 6-11, 24, 26

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