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P is the mid point of side AB of a parallelogram ABCD. A line through B parallel to PD meets DC at Q and AD produced at R. prove that
AR=2BC.

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P is the mid point of side AB of a parallelogram ABCD. A line through B parallel to PD meets DC at Q and AD produced at R. prove that BR=2BQ.

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MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. In triangleABC, AD is the median through A and E is the mid point of A...

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  2. ABCD is a parallelogram. P is any point on AD, such that AP = 1/3AD an...

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  3. P is the mid point of side AB of a parallelogram ABCD. A line through ...

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  4. P is the mid point of side AB of a parallelogram ABCD. A line through ...

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  5. Prove that the line joining the mid points of the diagonals of a trape...

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  6. In the fig. two points A and B in on the same side of a line XY. If AD...

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  7. In the fig. ABCD is a trapezium in which AB||DC and AD=BC. IF P,Q,R,S ...

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  8. ABCD is a trapezium in which AB||DC and let E be the mid point of AD. ...

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  9. ABCD is a trapezium in which AB||DC and let E be the mid point of AD. ...

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  10. In the fig points M and N divide AB of triangleABC into three equal pa...

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  11. Prove that any line segment drawn from the vertex of a trianlge to the...

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  12. The figure obtained by joining the midpoints of the sides of a rhombus...

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  13. Diagonals of the parallelogram bisect each other at right angles...

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  14. Name the quadrilateral formed in which two parallel of adjacent sides ...

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  15. In a quadrilateral PQRS, angleP+angleS=180^@. Name the type of quadril...

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  16. In a parallelogram PQRS, write the sum angles of P and Q.

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  17. ABCD is a rectangle with angleBCA=34^@ find angleDBC.

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  18. The perimeter of a parallelogram is 24 cm. if the large side measures ...

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  19. In quadrilateral ABCD, AP and BP are bisector of angleA and angleB res...

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  20. If three angles of a quadrilateral are 110^@,65^@ and 105^@ then find ...

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