must watch its a very brief summary for those who are not able to understand mid point theorem.

1. QuadrilateralsQuadrilaterals
mid pointmid point
theoremtheoremb.Krithikhab.Krithikha
IX-DIX-D

2.  A mid point of a line segment is average ofA mid point of a line segment is average of
the coordinates of both beginning and endthe coordinates of both beginning and end
points.points.
 In real life the construction of certain buildingsIn real life the construction of certain buildings
depend on its height and to easily find thedepend on its height and to easily find the
areas.areas.

3. IntroductionIntroduction
Mid point theorem was found by EricMid point theorem was found by Eric Wolfgang
Weisstein. He is also famous for finding the ThalesWeisstein. He is also famous for finding the Thales
theorem.theorem.

4. What mid pointWhat mid point
theorem states?theorem states?
 The line segment joining the mid pointsThe line segment joining the mid points
of two sides of a triangle is parallel to theof two sides of a triangle is parallel to the
third side and is half of it.third side and is half of it.

5. ExampleExample
 In a parallelogram ABCD, E and F areIn a parallelogram ABCD, E and F are
the mid points of sides AB and CDthe mid points of sides AB and CD
respectively. Prove that the linerespectively. Prove that the line
segments AF and EC trisect the diagonalsegments AF and EC trisect the diagonal
BD.BD.