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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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NAGEEN PRAKASHAN-AREA OF PARALLELOGRAMS AND TRIANGLES-Exercise
  1. In the adjoning figure, ABCD is a parallelogram. Prove that : area of ...

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  2. In a quadrilateral ABCD, AM and CN are perpendiculars from the vertice...

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  3. In the adjoining figure, ABCD is a quadrilateral in which AD ||BC. AC ...

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  4. D is a point on the base BC of Delta ABC.AD is produced upto E such th...

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  5. In the adjoining figure, D is the mid-point of side AB of Delta ABC an...

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  6. In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ (...

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

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

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  9. ABCD and BCFE are parallelgorams. If area of triangle EBC = 480 cm^(2)...

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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. The following figure shows two paralelograms ABCD and ABEF prove that ...

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  13. The side AB of a parallelogram ABCD is produced to any point E. A line...

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  14. A point E is taken on the side BC of a parallelogram ABCD. AE and DC a...

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  15. In the following figure, AP||PS||QR and PQ||DB||SR, prove that area of...

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  16. O is any point on the diagonal B D of the parallelogram A B C Ddot Pro...

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  17. D is the mid-point of side AB of the triangle ABC.E is the mid-point o...

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  18. In triangle ABC,E and F are the mid-point of sides AB and AC respectiv...

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  19. ABCD is a parallelogram. P and Q are the mid-point of sides AB and AD ...

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  20. In the given figure, squares ABDE and AFGC are drawn on the side AB an...

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