Question

show that the quadrilateral formed by joining the mid points of the adjacent sides of a parallelogram is parallelogram.​

Answer 1

Answer:

Let ABCD be a quadrilateral and length of its side AB is 2a. ... Clearly, the diagonals JL and MK of the quadrilateral JKLM bisect each other at ((a + b + d)/2, (c + e)/2). Hence, the quadrilateral JKLM is a parallelogram.