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In a quadrilateral HOPE, PS and ES are b...

In a quadrilateral HOPE, PS and ES are bisectors of `angle`P and `angle`E respectively. Give reason.

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NCERT EXEMPLAR-UNDERSTANDING QUADRILATERALS AND PRACTICAL GEOMETRY-EXERCISE
  1. In the figure, find the value of x.

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  2. Three angles of a quadrilateral are equal. Fourth angle is of measure ...

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  3. In a quadrilateral HOPE, PS and ES are bisectors of angleP and angleE ...

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  4. ABCD is a parallelogram. Find the value of x, y and z.

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  5. Diagonals of a quadrilateral are perpendicular to each other. Is such ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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