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In the adjoining figure, ABCD is a paral...

In the adjoining figure, ABCD is a parallelogram whose diagonals intersect each other at O. A line segment EOF is drawn to meet AB at E and DC at F. Prove that OE = OF.

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`triangle ODF ~=triangle OBE (because OD=OB, angle DOF =angle BOE and angle ODF=angle OBE).`
`therefore OF= OE. `
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RS AGGARWAL-QUADRILATERALS-EXERCISE 10B
  1. Find the measure of each angle of a parallelogram, if one of its angle...

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  2. ABCD is a parallelogram in which AB=9.5 cm and its perimeter is 30 c. ...

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  3. In each of the figures given below, ABCD is a rhombus. Find the value...

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  4. The length of the diagonals of a rhombus are 24cm and 18cm respectivel...

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  5. Each side of a rhombus is 10 cm long and one of its diagonals measures...

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  6. In each of the figures given below, ABCD is a rectangle. Find the valu...

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  7. A B C D is a rhombus in which the altitude from D to side A B\ bisect...

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  8. In the adjoining figure, ABCD is a square. A line segment CX cuts AB a...

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  9. ABCD is a rhombus. Show that diagonal AC bisects /Aas well as /Cand d...

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  10. In a parallelogram ABCD, points M and N have been taken on opposite si...

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  11. In the adjoining figure, ABCD is a parallelogram.If P and Q are the ...

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  12. In the adjoining figure, ABCD is a parallelogram whose diagonals int...

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  13. The angle between the altitudes of a parallelogram, through the sam...

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  14. ABCD is a rectangle in which diagonal AC bisects /Aas well as /C. Sho...

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  15. In the adjoining figure, ABCD is a parallelogram in which AB is produc...

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  16. In the adjoining figure, ABCD is a parallelogram and E is the midpoint...

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  17. Two parallel lines l and m are intersected by a transversal p (see ...

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  18. K, L, M and N are points on the sides AB, BC, CD and DA respectively...

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  19. A triangle ABC is given. If lines are drawn through A, B, C, parall...

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  20. In the adjoining figure, triangle ABC is a triangle and through A, B, ...

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