Question

ABCD is a rectangle and P,Q,R and S are mid points of the sides AB,BC,CD and DA respectively, show that the quadrilateral PQRS is a rhombus?​

Answer 1

Step-by-step explanation:

from the mid point theorem

we can say that SR||AC

SR =1/2*AC

same way RQ= 1/2*DB

SP =1/2*DB

PQ =1/2*AC

and ABCD is a rectangle so diagonals are equal

so all the sides are equal in

SR=RQ=PQ=SP

so if you draw lines RP and SQ are drawn then are parallel to BC and AB which are perpendicular

so diagonals are also interesting at 90

so PQRS is a rhombus

Answer 2

here is ur answer mate.....