Page 2 - IX Home Assignment 3triangles having equal- ch 9 Area of Parallelograms and Triangles

6) In a triangle ABC, E is the mid-point of median AD. Then:
a. ar(BED) = 1/4 ar(ABC) b. ar(BED) =
ar(ABC)

c. ar(BED) = 1/2 ar(ABC) d. ar(BED) = 2
ar(ABC)

7) If D and E are points on sides AB and AC respectively of ΔABC such that
ar(DBC) = ar(EBC). Then:
a. DE is equal to BC b. DE is parallel to BC c. DE is not equal to BC d. DE is
perpendicular to BC
8) If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each
other at O. Then,

a. ar (AOD) = ar (BOC) b. ar (AOD) > ar (BOC) c. ar (AOD) < ar (BOC) d. None of
the above
9) If Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way
that ar(△AOD) = ar(△BOC). Then ABCD is a:

a. Parallelogram b. Rectangle c. Square d. Trapezium

10) If a triangle and a parallelogram are on the same base and between same
parallels, then the ratio of the area of the triangle to the area of parallelogram
will be:

a. 1:2 b. 3:2 c. 1:4 d. 1:3

11. In the following figure, ar(ACD) = ar(BOC). Prove that ABCD is a trapezium.

12. In the following figure, points P and H trisect the side CF of parallelogram EFCD.
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If the area of parallelogram ABCD is 81 cm , find the area of CGH

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