Question

if p and q are any two points lying on side DC and AD respectively of a parallelogram ABCD ,then :
A. ar(APB) > ar(BQC)
B. ar(APB) < ar(BQC)
C. ar(APB) = ar(BQC)
D. None of above​

Answer 1

Answer:

Since △APB and parallelogram ABCD are on the same base AB and between the same parallels.

Therefore,

ar(△APB)=

2

1

ar(∥

gm

ABCD) .......(1)

Similarly,

ar(△BQC)=

2

1

ar(∥

gm

ABCD) ......(2)

From 1 and 2, we get,

ar(△APB)=ar(△BQC