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ABCD is a rectangle in which diagonal A...

ABCD is a rectangle in which diagonal AC bisects `/_A`as well as `/_C`. Show that:(i) ABCD is a square (ii) diagonal BD bisects `/_B`as well as `/_Ddot`.

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ABCD is a rectangle in which diagonal AC bisects angleA as well as angleC. Show that (i) ABCD is a square (ii) diagonal BD bisects angleB

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RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. 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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  2. ABCD is a rhombus. Show that diagonal AC bisects /Aas well as /Cand d...

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

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  4. 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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  5. 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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  6. In a parallelogram A B C D , determine the sum of angles /C\ a n d\...

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

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

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

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

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

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  12. 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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  13. A B C D is a rhombus, E A B F is a straight line such that E A=A B=B F...

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  14. A B C D is a parallelogram. A D is a produced to E so that D E=D C and...

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  15. In Figure, D ,E and F are, respectively the mid-points of sides B C ,C...

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  16. Prove that the four triangles formed by joining in pairs, the mid-p...

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  17. l, m and n are three parallel lines intersected by transversals p an...

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  18. Let A B C be an isosceles triangle with A B=A C and let D ,\ E ,\ F ...

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  19. A B C is a triangle right angled at B ; a n d\ P is the mid-point o...

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  20. P ,\ Q\ a n d\ R are, respectively, the mid points of sides B C ,\ C...

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