ABCD is a trapezium with AB ∥ DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (△ADX) = ar (△ACY). [3 MARKS]

ABCD is a trapezium with AB ∥ DC. A line parallel to AC intersects A

1.	ABCD is a trapezium with AB ∥ DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar (△ADX) = ar (△ACY). [3 MARKS]
Answer» ABCD is a trapezium with AB $∥$ DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar ( $△$ ADX) = ar ( $△$ ACY). [3 MARKS]