Question

5. Show that the line segment joining the mid-points of a pair
of opposite sides of a parallelogram, divides it into two equal
parallelograms.
(Hint. Parallelograms having equal bases and between the
same parallels are equal in area.]​

Answer 1

It is already shown in the figure that

AP=PB

DQ=QC

Shows that both line segments are devided into two equal parts

Hence, proved that line segment joining the mid points of a pair of opp sides of a ||gm devide it into 2 equal parts