MEDIUM
9th CBSE
IMPORTANT
Earn 100

Prove that the line segment joining the midpoints of a pair of opposite sides of a parallelogram divides it into two equal parallelograms.

Important Questions on Areas of Parallelograms and Triangles

HARD
9th CBSE
IMPORTANT
ABCD is a parallelogram and Q is only point on side AD. If ar (QBC)=10 cm2, find ar(QAB)+ar(QDC).
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HARD
9th CBSE
IMPORTANT
In ABCD and E are points on side BC such that CD=DE=EB. If ar(ABC)=27 cm2, find ar(ADE).
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HARD
9th CBSE
IMPORTANT

ABCD is a parallelogram, AEDC and CFADIf AB=16 cm,AE=8 cm,CF=10 cmfind AD.

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MEDIUM
9th CBSE
IMPORTANT
Prove that of all parallelograms of which the sides are given, the parallelogram which is rectangle has the greatest area.
MEDIUM
9th CBSE
IMPORTANT

In Figure, ABCD is a parallelogram whose diagonals AC and BD intersect at O. A line segment through O meets AB at P and DC at Q. Prove that ar (APQD)=1/2ar(gmABCD)

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HARD
9th CBSE
IMPORTANT

In Figure, diagonals AC and BD of a quadrileteral ABCD intersect at O. If BO=OD, prove that ar(ABC)=ar(ADC).

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MEDIUM
9th CBSE
IMPORTANT

In Figure, ABCD is a parallelogram and O is any point on diagonal AC. Show that ar (AOB)=ar(AOD).

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HARD
9th CBSE
IMPORTANT

In Figure, ABCD is a quadrilateral. A line through D parallel to AC, meets BC produced in P. Prove that ar(ABP)=ar(quaABCD)

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