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

QUESTION
 
If ABCD is quadrilateral and ar (AOD) = ar (BOC), then choose the correct option.

 

OPTIONS
A. 

ABCD is a parallelogram.

B. 

ABCD is a cyclic quadrilateral.

C. 

ABCD is a trapezium.

D. 

ABCD is a rhombus.

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

As ar (AOD) = ar (BOC),

adding ar(AOB) to both sides we get

ar (ABD) = ar ABC),

As both the triangles lie on the same base AB. Also D and C lie on the same line. We can say the DC is Parallel to AB

or ABCD os a trapezium

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