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The angle bisectors of a parallelogram f...

The angle bisectors of a parallelogram form a rectangle.

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AD||BC and AB is traversal
`/_A+/_B=180^@`
`1/2/_A+1/2/_B=90^@`
`/_BAS+/_ABS=90^@`
`In/_ABS`
`/_BAS+/_ABS+/_ASB=180^@`
`90^@+/_ASB=180^@`
`/_ASB=90^@`
...
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Show that the bisectors of angles of a parallelogram form a rectangle.

Show that the bisectors of angles of a parallelogram form a rectangle.

In the alongside diagram, the bisectors of interior angles of the parallelogram PQRS enclose a quadrilateral ABCD. Show that: (i) anglePSB+angleSPB=90^(@) (ii) anglePBS=90^(@) (iii) angleABC=90^(@) (iv) angleADC=90^(@) (v) angleA=90^(@) (vi) ABCD is a rectangle thus, the bisectors of the angles of a parallelogram enclose a rectangle.

Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.

Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.

The figure formed by joining the mid-point of the adjacent sides of a parallelogram is a (a)rectangle (b) parallelogram (c) rhombus (d) square

Show that, in a parallelogram ABCD, the internal and external bisectors of angleA and angleB from a rectangle.

If the two diagonals of a parallelogram are equal, it is a rectangle.

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. In a parallelogram, prove that the bisectors of any two consecutive an...

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  2. The diagonals of a parallelogram bisect each other.

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  3. The angle bisectors of a parallelogram form a rectangle.

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  4. If diagonal of a parallelogram bisects one of the angles of the para...

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  5. Show that the quadrilateral, formed by joining the mid-points of the ...

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  6. The diagonals of a quadrilateral A B C D are perpendicular. Show that ...

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  7. ABCD is a rhombus and P ,Q ,R ,S are the mid-points of A B ,B C ,C D ,...

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  8. Show that the quadrilateral formed by joining the mid-points of the ...

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  9. Prove that the figure formed by joining the mid-points of the pair of ...

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  10. In Figure, A D is the median and D E||A Bdot Prove that B E is the med...

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  11. In a A B C , find the measures of the angles of the triangle formed b...

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  12. In A B C ,A D is the median through A and E is the mid-point of A D ....

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  13. In Figure, A D , and B E are medians of A B C and B E || D Fdot P...

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  14. P ,Q and R are, respectively, the mid-points of sides B C ,C A and A B...

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  15. P is the mid-point of side A B of a parallelogram A B C D . A Line thr...

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  16. In Figure, A B C D isa trapezium in which side A B is a parallel to si...

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  17. In Figure, A B C D is a parallelogram. E and F are the mid-points of t...

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  18. A B C D is a parallelogram. P is a point on A D such that A P=1/3A D a...

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  19. In a triangle A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a...

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  20. In Figure, M ,N and P are the mid-points of A B ,A C and B C respectiv...

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