Question

P,Q,R,S is a quadrilateral and A,B,C,D are mid-points of the sides PQ,QR,RS and SP respectively.Show that the ABCD is parallelogram?​

Answer 1

Answer:

Using midpoint theorem in triangle PSR,

DC | | PR  & DC = PR/2 ... (1)

Similarly, in triangle PQR,

AB | | PR & AB = PR/2.... (2)

From (1) & (2),  

AB | | PR & AB = CD.

So, □ ABCD is a parallelogram