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The given figure shows a pentagon ABCDE....

The given figure shows a pentagon ABCDE. EG drawn parallel to DA meets BA produced at G and CF drawn parallel to DB meets AB produced at F.
Prove that the area of pentagon ABCDE is equal to the area of triangle GDF.

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ICSE-AREA THEOREMS-Exercies 16(A)
  1. In the given figure, ABCD is a parallelogram BC is produced to point X...

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  2. The given figure shows parallelograms ABCD and APQR. Show that these p...

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  3. In the given figure, if area of triangle ADE is 60cm^(@), giving reaso...

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  4. The given figure shows a rectangle ABDC and a parallelogram ABEF, draw...

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  5. In the given figure, diagonals PR and QS of thr parallelogram PQRS int...

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  6. In parallelogram ABCD, P is a point on side AB and Q is a ponit on sid...

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  7. In the given figure, M and N are the mid-points of the sides DC and AB...

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  8. In the following figure, CE is drawn parallel to diagonal DB of the qu...

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  9. ABCD is a parallelogram, a line through A cuts DC at point P and BC pr...

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  10. The given figure shows a pentagon ABCDE. EG drawn parallel to DA meets...

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  11. In the given figure, AP is parallel to BC, BP is parallel to CQ. Prove...

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  12. In the figure given alongside, squares ABDE and AFGC are drawn on the ...

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  13. In the following figure, DE is parallel to BC. Show that : (i) "Are...

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  14. ABCD and BCFE are parallelograms. If area of triangle EBC=480cm^(2), A...

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  15. In the given figure, D is mid-point of side AB of triangleABC and BDEC...

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  16. In the following figure, AC////PS////QR "and" PQ////DB////SR. Prove ...

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  17. ABCD is a trapezium with AB////DC. A line parallel to AC intersects A...

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  18. In the given figure, AD////BE////CF. prove that : area (DeltaAEC) ...

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  19. In the given figure, ABCD is a parallelogram BC is produced to point X...

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  20. The given figure shows parallelograms ABCD and APQR. Show that these p...

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