1. LEARNING TARGET: STUDENTS WILL BE ABLE TO USE PROPERTIES OF MIDSEGMENTS AND WRITE COORDINATE PROOFS. FEBRUARY 12, 2014 5.1 Midsegment Theorem and Coordinate Proof

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 AB G C J HJ = 2AC 4y + 2 = 2(3y – 5) 4y + 2 = 6y – 10 12 = 2y 6 = y AC = HB HB = 3(6) – 5 HB = 13

4. Guided Practice 1) DE is the midsegment of ΔABC. Find the value of x. x A E D B C 22

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