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ABCD is a parallelogram and P,Q are the midpoints of DC and AB respectively. Then, area of parallelogram AQPD is equal to area of triangle ADB.


ABCD Is A Parallelogram And P,Q Are The Midpoints Of DC And ...


Options:
A .   True
B .   False
C .   half
D .   one-third
Answer: Option A
:
A

ABCD Is A Parallelogram And P,Q Are The Midpoints Of DC And ...


Parallelogram ABCD and triangle ABD are on the same base and between same parallels .


Area(ADB) = 12 Area of parallelogram(ABCD)


As P and Q are the midpoints of DC and AB, Area of parallelogram(AQPD) = 12Area of parallelogram(ABCD)


So, Area(ADB) = Area of parallelogram(AQPD)



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