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ABCD is a parallelogram. E is a point on...

ABCD is a parallelogram. E is a point on BA such that `BE =2 EA` and F is a point on DC such that DF=2 FC. Prove that AECF is a parallelogram whose area is one third area of parallelogram ABCD.

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
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  11. Prove that of all parallelograms of which the sides are given, the ...

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  12. In Figure, A B C D is a parallelogram and E F C D is a rectangle. Al...

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  13. If E ,\ F ,\ G\ a n d\ H are respectively the mid-points of the side...

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  14. p\ A N D\ q are any two points lying on the sides D C\ a n d\ A D r...

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  15. In Figure, P is a point in the interior of a parallelogram A B C Dd...

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  16. In Figure, A B C D is a parallelogram, A E\ |D C\ a n d\ CC F|A D . ...

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  17. In above question number, if A D=6c m ,\ C F=10 c m ,\ a n d\ A E=8...

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  18. Let A B C D be a parallelogram of area 124\ c m^2. If E\ a n d\ F ar...

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  19. If A B C D is a parallelogram, then prove that a r\ (/\\ A B D)=\ a ...

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  20. Show that a median of a triangle divides it into two triangles of e...

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