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Verifying Properties of Geometric Figures The ability to problem solve is a key skill. You will be given a collection of properties, and a collection of situations. You must decide what property to use, then implement that property effectively to create and communicate a clear solution Example 1 The vertices of a triangle are A(-3,6), B(1,-6) and C(5,2). If M is the midpoint of AB and N is the midpoint of AC, verify that a) MN is parallel to BC b) MN is half the length of BC Example 2 Triangle ABC has vertices A(3,4) B(-5,2) and C(1,-4). Determine a) An equation for CD, the median from C to AB b) An equation for GH, the right bisector of AB The median of a triangle connects the vertex with the midpoint of the opposite side A right bisector divides the side of a triangle equally in 2 at 90O Pg 95 1, 2, 3, 5, 6, 7a, 8, 10, 12, 14a,c 18, 20, 23 These will take 2 periods to complete.