Question

PQRS is a quadrilateral . a line through S is parallel to PR meets QR produced in X . show that area of pqrs = ar pxq

Answer 1

here is the answer if you can't understand you can ask again

Answer 2

Proved below.

Step-by-step explanation:

Given:

Here, PQRS is a quadrilateral.

It is given that a line through S is parallel to PR meets QR produced in X.

As shown in the below figure, PRS and PRX are on the same base PR and between the same parallels as PR is parallel to SX.

ar(PRX)  = ar(PRS)

Now adding  ar (PQR) to both sides, we get

ar(PRX) + ar(PQR) = ar(PRS) + ar(PQR)

⇒ ar(PQX) = ar(quad. PQRS)

Hence proved.