Question

pqrs is a parallelogram qr and rs are the mid points show abcd is a parallelogram

Answer 1

hey!

correct question - P,Q,R,S are midpoints of a ||gm ABCD then show that PQRS is a parallelogram

construction: joun AC and BD

proof: A/q to midpoint thorem

a line joining the midpoint of two sides of a ∆ is || to third and is equal to 1/2 of it

in ∆ABC

PR=1/2AC ,PR||1/2AC......(1)

in∆ACD

QS=1/2 AC , QS||1/2AC........(2)

from 1 and 2

PR=QS and PR||QS

similarly

QP=SR and QP||SR

opposite sides are equal and || so PQRS is a || gm prooved