Question

please answer it fast​

Answer 1

Answer:

send a suitable questions okk

Answer 2

Hence Proved

Step-by-step explanation:

It is given that,ABCD is a quadrilateral P,Q,R,S are mid point of the sides AB , BC, CD and AD respectively.

We have to prove,  $area (PQRS) = 1/2\ area( ABCD)$

Construction : join AC and BD

Proof :  

In the Δ ABD , P and S are the mid point of the sides AB and AD

area (ΔASP) = 1/4 area (ABD)

area (ΔASP) =1/4 × 1/2 area (ABCD)

area (ΔASP) = 1/8 area (ABCD)...(1)

area (ΔBPQ)= 1/8\ area(ABCD)......(2)

area (ΔCQR ) = 1/8 area (ABCD) ...(3)

area (ΔRDS ) =1/8 area (ABCD)...(4)

On adding all the equation,we get

area (ΔASP +Δ BPQ +ΔCQR +ΔRDS) = 4× 1/8 area( ABCD)

Area (PQRS) = 1/2 area (ABCD )

Hence Proved.