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In a parallelogram ABCD, the bisectors o...

In a parallelogram ABCD, the bisectors of the consecutive angles angleA and angleB intersect at P. Show that `angleAPB=90^(@)`.

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VGS PUBLICATION-BRILLIANT-QUADRILATERALS-EXERCISE
  1. In a parallelogram ABCD, angleDAB = 40^(@) find the other angles of th...

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  2. Two adjacent sides of a parallelogram are 4.5 cm and 3 cm. Find its pe...

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  3. In a parallelogram ABCD, the bisectors of the consecutive angles angle...

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  4. State whether the statements are True or False. (i) Every parallelog...

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  5. State whether the statements are True or False. (ii) All parallelogr...

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  6. State whether the statements are True or False. (iii) All trapeziums...

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  7. State whether the statements are True or False. (iv) A square is a r...

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  8. State whether the statements are True or False. (v) Every rhombus is...

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  9. State whether the statements are True or False. (vi) All parallelogr...

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  10. ABCD is trapezium in which AB"||"CD. If AD =BC, show that angleA=angle...

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  11. The four angles of a quadrilateral are in the ratio 1: 2:3:4. Find the...

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  12. ABCD is a rectangle AC is diagonal. Find the nature of DeltaACD. Give ...

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  13. Cut out a parallelogram from a sheet of paper again and cut along one ...

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  14. Show that the diagonals of a rhombus divide it into four congruent tri...

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  15. If a quadrilateral ABCD, the bisector of angleC angleD intersect at O....

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  16. Show that each angle of a rectangle is a right angle.

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  17. Show that the diagonals of a rhombus are perpendicular to each other.

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  18. In a parallelogam ABCD, if the diagonal AC bisects the angle A, then A...

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  19. Show that the diagonals of a rectangle are of equal length.

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  20. Show that the angle bisectors of a parallelogram form a rectangle.

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