docs.google.com C + 88 Headrush - Module - 04 Geometry: Congruent Triangles and Proofs Pathway 4 Stop #3a Isosceles Triangle Properties - Google Docs Pathway 4 Stop #3b Midsegment Maylay - Google Docs E Pathway 4 Stop #3b Midsegment Maylay * 4 0 Request edit access Share File Edit View Tools Help 31 Student Notes - Midsegment Maylay A midsegment of a triangle is a line segment that joins the midpoints of 2 sides of the triangle. Exploration #1 : Below is a triangle with a line drawn from X to Y. X is the midpoint of the line OM, Y is the midpoint of the line PM. M + X V O The measures of the following lengths are: XY = 1 inch OP = 2 inch What is the relationship between XY and OP? (hint: there are 2 important relationships) 2 .E V docs.google.com C + 88 Headrush - Module - 04 Geometry: Congruent Triangle.. 4 Stop #3a Isosceles Triangle Properties - Google Docs Pathway 4 Stop #3b Midsegment Maylay - Google Docs Copy of Pathway 4 Stop #3b Midsegment Maylay - Go.. Copy of Pathway 4 Stop #3b Midsegment Maylay * d Share File Edit View Insert Format Tools Add-ons Help Last edit was seconds ago n a $ 7 100% Normal text Arial - 11 + B I U A . G P BEE BEEEX 31 71 1 17 Below is the theorem in "math" terms that you just described on the last page. This is stated formally so that you know what it looks like. The next task for you to complete is Exploration #2 below. THEOREM: The segment containing the midpoints of two sides of a triangle is parallel to the third side and is half as long as the third side. (In the diagram above DF = AB, DE = BC, and FE = AC.) [Note that when all three midsegments are drawn, four congruent triangles are created.] Exploration #2 : + R 2 -8 - 6 -2 0 W Graph Triangle COW on the coordinate plane with C(-5, 6), O(1, 2) and W(-7, -2) + Find the midpoint of CO Point 1 (-5,6) Point 2 (1, 2)E V docs.google.com C + 88 Headrush - Module - 04 Geometry: Congruent Triangle.. 4 Stop #3a Isosceles Triangle Properties - Google Docs Pathway 4 Stop #3b Midsegment Maylay - Google Docs Copy of Pathway 4 Stop #3b Midsegment Maylay - Go... Copy of Pathway 4 Stop #3b Midsegment Maylay * d Share File Edit View Insert Format Tools Add-ons Help Last edit was seconds ago n a $ A 7 100% Normal text Arial - 11 + B I U A . GAO BEEN EVEEX 31 Find the midpoint of CO Point 1 (-5,6) Point 2 (1,2) (* itx 2 yity 2 ) MP = (2, Graph the midpoint of CO and label it as Q Find the midpoint of CW Point 1 (-5,6) Point 2 (-7,-2) Graph the midpoint of CW and label it as R + Connect points Q and R How can we show that QR is parallel to OW? Show that QR // OW below. Hint: use slope m = * 2 - * 1 How can we show that QR is half the length of OW? Show this below! d = V( x - x2 )' + ( 1 1 - yz ) +