Question

ABCD is a parallelogram. P and Q are the
midpoints of AB and DC. If P and Q are joined,
prove that APQD is a parallelogram.​

Answer 1

$\huge\red{Answer}$→

$\huge\green{Explanation}$→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.

$\huge\orange{@alurringbabe}$