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Diagonals of a parallelogram are perpend...

Diagonals of a parallelogram are perpendicular to each other. Is this statement true? Give reason for your answer.

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No, diagonals of a parallelogram are not perpendicular to each other, because they only bisect each other.
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NCERT EXEMPLAR-QUADRILATERALS -Quadrilaterals
  1. D and E are the mid-points of the side AB and AC, respectively, of Del...

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  2. Diagonals AC and BD of a parallelogram ABCD intersect each other at O....

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  3. Diagonals of a parallelogram are perpendicular to each other. Is this ...

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  4. Can the angles 110^(@), 80^(@), 70^(@) and 95^(@) be the angles of a q...

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  5. In quadrilateral ABCD, angleA+angleD= 180^(@). What special name can b...

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  6. All the angles of a quadrilateral are equal. What special name is give...

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  7. Diagonals of a rectangle are equal and perpendicular. Is this statemen...

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  8. Can all the four angles of a quadrilateral be obtuse angles ? Give rea...

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  9. In DeltaABC, AB = 5cm , BC = 8 cm and CA = 7cm. If D and E are respect...

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  10. In the figure, it is given that BDEF and FDCE are parallelogram. Can y...

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  11. In figure, ABCD and AEFG are two parallelograms. If angleC = 55^(@), ...

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  12. Can all the angles of a quadrilateral be acute angles ? Give reason fo...

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  13. Can all the angles of a quadrilateral be right angles ? Give reason fo...

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  14. Diagonals of a quadrilateral ABCD bisect each other. If angleA=35^(@),...

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  15. Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, deter...

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  16. One angle of a quadrilateral is 108^0 and the remaining three angles a...

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  17. ABCD is a trapezium in which AB||DC and angleA=angleB=45^(@). Find an...

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  18. The angle between two altitudes of a parallelogram through the vertex ...

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  19. ABCD is a rhombus in which altitude from D to side AB bisects AB. Find...

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  20. E and F are points on diagonal AC of a parallelogram ABCD such that AE...

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