ABC is a triangle. U is a point on the line BC. I is the midpoint of BC. The line through C parallel to AI meets the line AU at E. The line through E parallel to BC meets the line AB at F. The line through E parallel to AB meets the line BC at H. The line through H parallel to AU meets the line AB at K. The lines HK and FG meet at T.V is the point on the line AU such that A is the midpoint of UV. Show that V,T and I are collinear. geometryParallel Linesparallelcollinear