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A B ,C D are two parallel lines and a tr...

`A B ,C D` are two parallel lines and a transversal `l` intersects `A B` at `X` and `C D` at `Y` Prove that the bisectors of the interior angles form a parallelogram, with all its angles right angles i.e., it is a rectangle.

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. In Figure, A B C D is a parallelogram and X\ a n d\ Y are points on th...

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  2. ABC is an isosceles triangle in which AB = AC . AP bisects exterior an...

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  3. A B ,C D are two parallel lines and a transversal l intersects A B at ...

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  4. If A B C\ a n d\ D E F are two triangles such that A B ,\ B C are ...

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  5. P Q R S is a square such that P R\ a n d\ S Q intersect at O. State th...

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  6. The diagonals of a rectangle A B C D\ meet at O . If /B O C=44^0, ...

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  7. If P Q R S is a square, then write the measure of /S R P

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  8. If A B C D is a rectangle with /B A C=32^0, find the measure of /D B C

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  9. If A B C D is a rhombus with /A B C=56^0, find the measure of /A C D

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  10. ABCD is a rhombus. Show that diagonal AC bisects /Aas well as /Cand d...

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  11. ABCD is a rectangle in which diagonal AC bisects /Aas well as /C. Sho...

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  12. In Figure, A B C D is a trapezium in which A B C D and A D=B Cdot sho...

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  13. In Figure, A B C D is a trapezium in which A B || C D and A D=B C. Sho...

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  14. In a parallelogram A B C D , determine the sum of angles /C\ a n d\...

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  15. In a parallelogram A B C D , if /D=135^0, determine the measures of ...

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  16. A B C D is a square. A C\ a n d\ B D intersect at O. State the measure...

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  17. A B C D is a rectangle with /A B D=40^0dot Determine /D B C

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  18. The sides A B\ a n d\ C D of a parallelogram A B C D are bisected at E...

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  19. P\ a n d\ Q are the points of trisection of the diagonal B D of a p...

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  20. A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ ...

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