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The diagonal AC of a quadrilateral ABCD ...

The diagonal AC of a quadrilateral ABCD divides it into two triangles of equal areas. Prove that diagonal AC bisects the diagonal BD.

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Prove that A diagonal of a parallelogram divides it into two triangles of equal area.

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If each diagonals of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is a parallelogram.

If each diagonals of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is a parallelogram.

If the diagonal BD of a quadrillateral ABCD bisects both angleB and angleD . Prove that (AB)/(BC)= (AD)/(CD) .

ABCD is a quadrilateral whose diagnonal AC divides it into two parts, equal in are, then ABCD

If one diagonal of a quadrilateral bisects the other, then it also bisects the quadrilateral.

A quadrilateral A B C D is such that diagonal B D divides its area in two equal parts. Prove that B D bisects A C . GIVEN : A quadrilateral A B C D in which diagonal B D bisects it. i.e. a r(triangle A B D)=a r(triangle B D C) CONSTRUCTION : Join A C Suppose A C and B D intersect at O . Draw A M_|_B D and C N _|_ B D . TO PROVE : A O=O C .

NAGEEN PRAKASHAN ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-Exercise
  1. Show that the diagonals of a parallelogram divide it into four tria...

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  2. If the diagonals A C ,\ B D of a quadrilateral A B C D , interse...

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  3. The diagonal AC of a quadrilateral ABCD divides it into two triangles ...

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  4. Prove that the area of a rhombus is equal to half the rectangle con...

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  5. Delta ABC and Delta DBC are on same base BC and their vertices A and D...

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  6. O' is an interior point of a parallelogram ABCD. Prove that : area o...

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  7. O' is any point on diagonal AC of a parallelogram ABCD. Prove that : ...

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  8. In the adjoning figure, D and E are the points on the sides AB and AC ...

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  9. In the adjoning figure, ABCD is a parallelogram. Prove that : area of ...

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

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

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  12. Any point D is taken on the side BC of a Delta ABC and AD is produce...

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

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

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

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

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

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

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

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

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