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If the diagonals of a quadrilateral bise...

If the diagonals of a quadrilateral bisect each other then it is a

A

rhombus

B

parallelogram

C

square

D

rectangle

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Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other. (b) If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

The diagonals of a quadrilateral ABCD intersect each other at point'O' such that (AO)/(BO)=(CO)/(DO) . Prove that ABCD is a trapezium.

IF the diagonals in a quadrilateral divide each other proportionally then it is…….

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The diagonals of the quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Draw a rough figure to justify your answers.

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Show that the line segments joining the midpoints of the opposite sides of a quadrilateral and bisect each other.

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VGS PUBLICATION-BRILLIANT-QUADRILATERALS-EXERCISE
  1. In DeltaABC,BC=8cm and D, E are the midpoints of AB and AC, also AF=1/...

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  2. In DeltaABC , D, E and F are the mid points of the sides, then DeltaDE...

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  3. If the diagonals of a quadrilateral bisect each other then it is a

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  4. Two adjacent sides of a parallelogram are 4.7 cm and 6.3 cm then its p...

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  5. If each pair of opposite angles are equal then it is a

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  6. In squareABCD , AB= DC and AD = BC also angleA = 90^@, then squareABCD...

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  7. The figure formed by joining the mid-points of sides of a rectangle is

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  8. Show that the figure formed by joining the midpoints of sides of a rho...

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  9. The sum of four angles of a quadrilateral is

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  10. One of the diagonals of the quadrilateral ABCD is

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  11. The opposite vertices of the quadrilateral PQRS are

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  12. If a parallelogram has all its angles as right angles, then it is a

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  13. Two given sides of a parallelogram are 8 cm and 3 cm, then its perimet...

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  14. In a parallelogram, which of the following is true ?

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  15. Which of the following statements is false ?

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  16. If each pair of opposite sides of a quadrilateral is equal, then it is...

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  17. A diagonal of a parallelogram divides It Into two

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  18. The angle bisectors of a parallelogram form a

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  19. In the parallelogram PQRS, angleP = 40^@ , then angleR=

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  20. The ratio of two consecutive angles of a parallelogram is 1:2 then the...

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