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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 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. 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 G C J 12 = 2y 6=y Guided Practice 1) DE is the midsegment of ΔABC. Find the value of x. B D 22 x C E A Assignment Pg. 298 #1, 4, 6-11, 24, 26