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A line l is parallel to line m and a tra...

A line l is parallel to line m and a transversal p interesects them at X, Y respectively. Bisectors of interior angles at X and Y interesct at P and Q. Is PXQY a rectangle? Given reason.

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NCERT EXEMPLAR-UNDERSTANDING QUADRILATERALS AND PRACTICAL GEOMETRY-EXERCISE
  1. Diagonals of a quadrilateral are perpendicular to each other. Is such ...

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  2. ABCD is a trapezium such that AB||CD, angleA : angleD = 2 :1, angleB :...

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  3. A line l is parallel to line m and a transversal p interesects them at...

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  4. ABCD is a parallelogram. The bisector of angle A intersects CD at X an...

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  5. A diagonal of a parallelogram bisects an angle. Will it also bisect th...

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  6. The angle between the two altitudes of a parallelogram through the ver...

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  7. ABCD is a rhombus such that the perpendicular bisector of AB passes th...

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  8. ABCD is a parallelogram. Points P and Q are taken on the sides AB and ...

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  9. In parallelogram ABCD, the angle bisector of angleA bisects BC. Will a...

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  10. A regular pentagon ABCDE and a square ABFG are formed on opposite side...

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  11. Find the maximum number of acute angles that a convex quadrilateral, a...

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  12. In the following figure, FD||BC||AE and AC||ED. Find the value of x.

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  13. In the following figure, AB||DC and AD = BC. Find the value of x.

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  14. Construct a trapezium ABCD in which AB||DC, angleA = 105°, AD = 3 cm, ...

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  15. Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and angle...

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  16. Construct a rhombus whose side is 5 cm and one angle is of 60°.

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  17. Construct a rectangle whose one side is 3 cm and a diagonal equal to 5...

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  18. Construct a square of side 4 cm.

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  19. Construct a rhombus CLUE in which CL = 7.5 cm and LE = 6 cm.

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  20. Construct a quadrilateral BEAR in which BE = 6 cm, EA = 7 cm, RB = RE ...

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