Question

If two parallelograms pqad and pqbc are on the opposite sides of pq,prove that abcd is a parallelogram

Answer 1

Answer:

Step-by-step explanation:

pqad is a parallelogram.

then ad is parallel to pq and ad = pq(opp. sides of parallelogram) _(1)

pqbc is a parallelogram.

then bc is parallel to pq and bc = pq.(opp. sides of parallelogram)_(2)

from 1 and 2 -

ad parallel to pq parallel to bc and ad=pq=bc

thus ad parallel to bc and ad = bc

then one pair of opp .sides are equal and parallel

thus abcd is parallelogram

Answer 2

Answer:

Step-by-step explanation:

pqad is a parallelogram.

then ad is parallel to pq and ad = pq(opp. sides of parallelogram) _(1)

pqbc is a parallelogram.

then bc is parallel to pq and bc = pq.(opp. sides of parallelogram)_(2)

from 1 and 2 -

ad parallel to pq parallel to bc and ad=pq=bc

thus ad parallel to bc and ad = bc

then one pair of opp .sides are equal and parallel

thus abcd is parallelogram