Triangle Midsegment

Name: DOto Date: Topic Class: Main Ideas/Questions Notes/Examples B A midsegment of a triangle is a segment TRIANGLE connecting the Mid Pointsof E MIDSEGMENT two sides of the triangles. Example: C If a segment joins the midpoints of two sides Triangle of a triangle, then the segment is as long. Midsegment to the third side and THEOREM Using the diagram above, if DE is a midsegment of AABC, then: 1 ) 2 ) EXAMPLES! 1. Identify all pairs of parallel segments. 2. Identify all pairs of parallel segments. GSIX b) b ) C ) 3. If L, M, and N are the midpoints of the sides of 4. If F, G, and H are the midpoints of the sides of APOR, PR = 46, PQ = 40, and LN = 17, find ACDE, FG = 9, GH = 7, and CD = 24, find each measure. each measure. a) LM = a) CE = \\ b) MN = b) DE = 18 C) FH = el C) OR = d) Perimeter of R d) MR = ACDE: G 5. Find the value of x. 6. Find the value of x. 19x - 36 X 2 6 6x + 31 17x - 18 7x Gina Wilson (All Things Algebra), 2014