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Given ` A B C` , lines are drawn through `A ,\ B\ a n d\ C` parallel respectively to the sides `B C ,\ C A\ a n d\ A B ,\ ` forming triangle P Q R . Show that BC=1/2QR.

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. B M and C N are perpendiculars to a line passing through the vertex A ...

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  2. In Figure, A N and C P are perpendicular to the diagonal B D of a para...

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  3. Given A B C , lines are drawn through A ,\ B\ a n d\ C parallel res...

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  4. In a parallelogram A B C D ,/D=115^0, determine the measure of /A and ...

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  5. In a parallelogram A B C D , prove that sum of any two consecutive ang...

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  6. A B C D is a parallelogram andline segments A X ,C Y bisect the angles...

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  7. In a parallelogram A B C D diagonals A C and B D intersect at O and A ...

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

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  9. The diagonals of a parallelogram bisect each other.

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

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

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

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

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

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

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

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

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

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

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

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