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The diagonals of a rectangle intersect e...

The diagonals of a rectangle intersect each other at right angles. Prove that the rectangle is a square.

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ICSE-RECTILINEAR FIGURES-Exercise 14(C )
  1. In the given figure, ABCD is a parallelogram. Prove that: AB= 2BC

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  2. Prove that the bisectors of opposite angles of a parallelogram are par...

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  3. The bisectors of the angle of a parallelogram enclose a parallelogr...

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  4. Prove that the bisectors of the interior angles of a rectangle form a ...

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  5. In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2...

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  6. In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2...

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  7. Points M and N are taken on the diagonal AC of a parallelogram ABCD su...

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  8. In the following figure, ABCD is a parallelogram. Prove that: AP...

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  9. In the following figure, ABCD is a parallelogram. Prove that: BP ...

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  10. In the following figure, ABCD is a parallelogram. Prove that: ang...

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  11. ABCD is a square. A is joined to a point P on BC and D is joined to a ...

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  12. In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC bisects ...

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  13. In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC is perpe...

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  14. The following figure shows a trapezium ABCD in which AB is parallel to...

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  15. The following figure shows a trapezium ABCD in which AB is parallel to...

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  16. The following figure shows a trapezium ABCD in which AB is parallel to...

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  17. In a parallelogram, prove that the bisectors of any two consecutive an...

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  18. Prove that the bisectors of opposite angles of a parallelogram are par...

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  19. The diagonals of a rectangle intersect each other at right angles. Pro...

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  20. In the following figure, ABCD and PQRS are two parallelogram such that...

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