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If E ,F ,G and H are respectively the mi...

If `E ,F ,G` and `H` are respectively the mid-points of the sides of a parallelogram `A B C D ,` show that `a r(E F G H)=1/2a r(A B C D)dot`

A

1/3

B

2/3

C

4/3

D

3/4

Text Solution

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The correct Answer is:
A
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MTG IIT JEE FOUNDATION-AREAS OF PARALLELOGRAMS AND TRIANGLES-EXERCISE ( Multiple Choice Questions )
  1. Calculate the area of quad. ABCD.

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  2. In the given figure, AB bot AD, BC bot BD and AD = 9 cm, BC = 8 cm and...

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  3. If E ,F ,G and H are respectively the mid-points of the sides of a ...

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  4. PQRS is an isosceles trapezium in which PS = 10 cm, PQ = SR = 13 cm an...

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  5. Theorem 9.1 : Parallelograms on the same base and between the same par...

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  6. Which of the following figures lie on the same base and between the sa...

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  7. If PS is median of the triangle PQR, then ar(DeltaPQS): ar(DeltaQRP) i...

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  8. In parallelogram PQRS, find SM.

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  9. In a trapezium ABCD, AB || DC, AB = a cm, and DC = b cm. If M and N ar...

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  10. In a class, teacher gave two cardboard pieces having equal area which ...

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  11. In the figure, ABCD is a square. E and Fare midpoints of AD and BC res...

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  12. In the given figure, PQRS is parallelogram, then find the area of Delt...

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  13. If the area, base and corresponding altitude of a parallelogram are x^...

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  14. In the given figure, AD is the median and E is any point on AC, such t...

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  15. The figure formed by joining the midpoints of the adjacent sides of a ...

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  16. PQRS is a rhombus in which angleR = 60°. Then PR : QS =

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  17. The lengths of the diagonals of a rhombus are 12 cm and 16 cm. The are...

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  18. In a quadrilateral ABCD, it is given that BD = 16 cm. If AL bot BD and...

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  19. In. the figure the angles BAD and ADC are right angles and AE I I BC, ...

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  20. ABCD is a parallelogram in which BC is produced to E such that CE = BC...

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