Question

1. ABCD is a quadrilateral in which P.Q.R and S are
mid points of the sides AB, BC, CD and DA
(see Fig 8.29). AC is a diagonal. Show that
(1) SRI AC and SR-
AC
() PQ-SR
PQRS is a parallelogram​

Answer 1

Answer:

hope this answer helps you this is wat i know :)

Step-by-step explanation:

proof

in tiangle ADC,

S nd R are the mid points of sides ad and cd respectively,

therefore sr parallel to ac and sr = 1/2 ac......1

now to prove pq =sr

in triangle abc ,

p and q are midpoints of sides ab and bc respectively.

pq parallel to ac and pq=1/2ac.......2

from 1 and 2 pq=sr and pq parralel to sr

now that we proved

pq=srand

pq parallel to ac and sr parrlel to ac

so, pq parrel to sr

in pqrs

one pair of opposite side of its parallelogram and equal.

hence pqrs is a parallellogram