Given a quadrilateral ( -7, 2 ) ( -5, -8 ), ( 3, -9 ) and ( 4, -3 ) show that the line segments joining the midpoints of the opposite sides bisect each other.

Question

Division of a Line Segment and Midpoint of a Line Segment

Answer 1

This is true for any convex quadraliteral, because if we combine midpoints of adgaisent sides we get parallelogram (opposite sides parallel and equal half of diagonals) and diagonals of parallelogram bysect each other