In the adjoining figure, MNPQ and ABPQ are parallelograms and T is any point on the side BP. Prove that(i) ar(MNPQ) = are(ABPQ)(ii) ar(∆ATQ) = 12ar(MNPQ).

In the adjoining figure, MNPQ and ABPQ are parallelograms and T is any

1.	In the adjoining figure, MNPQ and ABPQ are parallelograms and T is any point on the side BP. Prove that(i) ar(MNPQ) = are(ABPQ)(ii) ar(∆ATQ) = 12ar(MNPQ).
Answer» In the adjoining figure, MNPQ and ABPQ are parallelograms and T is any point on the side BP. Prove that (i) ar(MNPQ) = are(ABPQ) (ii) ar(∆ATQ) = $\frac{1}{2}$ ar(MNPQ).