39 ABCD is a cyclic quadrilateral whose diagonals AC and BD intersect at P.If AB = DC,then prove that triangle PAB is congurence to triangle PDC

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Diagonals AC and BD of trapezium ABCD in which AB $∥$ DC, intersect each other at O. Prove that the triangle AOD is equal in area to triangle BOC.

Diagonals AC and BD of a trapezium ABCD with AB $∥$ DC intersect each other at O.
Prove that ar ( $△$ AOD) = ar ( $△$ BOC). [1 MARK]

A C

B D

A B C D

O

a r (△ A O D) = a r (△ B O C)

A B C D

a r e a (△ A O D) = a r e a (△ B O C)

In the adjoining figure,ABCD is a trapezium in which AB||DC and its diagonals AC and BD intersect at O.

Prove that $a r (△ A O D) = a r (△ B O C)$ .

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