Question

EXERCISE 8.2
1. ABCD is a quadrilateral in which P, Q, R and Sare
mid-points of the sides AB, BC, CD and DA
(see Fig 8.29). AC is a diagonal. Show that:
@ SRII AC and SR = AC
(i) PQ=SR
(iii) PQRS is a parallelogram. plz plz plzpzlzlzzppzlzpzlzppzlz solve this question guys​

Answer 1

Step-by-step explanation:

Given ABCD is a quadrilateral in which P,Q andS is the mid point of the AB,BC,CD and DA is a diagonal.

T.p

(1) in triangle DAC

s is the mid point of DA and R is the mid point of DC

SR||AC and SR =1/2 Ac

(2) in triangle BAC

Pis the mid point of

BC

PQ||AC and PQ =1/2 AC

But from SR=1/2 AC

PQ=SR

(3) PQ||AC

SR||Ac

PQ||SR

also PQ=SR

PQRS is a parallelogram