Maths / Areas Of Parallelograms And Triangles / Parallelograms on Same Base and Between Same Parallels

QUESTION
 
In the figure , ABCDis a teapezium. If DP left | right | BC, then which of the following relationship is true?

 

OPTIONS
A. 

AD=BC

B. 

2ar(PQB) = 1 ar(ABCD)

C. 

ar(PBCD)=2 ar(PQD)

D. 

Delta ADP =DeltaPBQ

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

ABCDis a teapezium. As DP left | right | BC, then PBCD is a parallelogram

Now the parallelogram PBCD and Triangle PQD are on the same base PD and between the same parallel as PD || BC.

ar(PBCD)=2 ar(PQD)

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