Question

ABCD is a parallelogram p and q are midpoints of AC and DC if p and q are joined prove that a PQ is a parallelogram​

Answer 1

Step-by-step explanation:

ABCD is a parallelogram P and Q are the midpoints of sides AB and DC respectively .

Since ABCD is a parallelogram,AB ║ CD  and AB = CD

P and Q are the mid points  of AB and CD

so, QC = 1/CD =1/AB  = PB

ie. QC = PB

Also PB ║ QC and QC = PB then we get, PQ = BC

Therefore  PBCQ is also a parallelogram.