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In quadrilateral `A B C D ,\ A O\ a n d\ B O` are the bisectors of `/_A\ a n d\ /_B` respectively. Prove that `/_A O B=1/2(/_C+/_D)dot`

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In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /_C\ a n d\ /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /_C\ a n d\ /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

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In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

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In a quadrilateral ABCD , CO and DO are the bisectors of /_C and /_D respectively. Prove that /_C O D=1/2(/_A+/_B)

In Figure, bisectors of /_B\ a n d\ /_D of quadrilateral A B C D meet C D\ a n d\ A B produced at P\ a n d\ Q respectively. Prove that /_P+/_Q=1/2(/_A B C+/_A D C)dot

In a triangle A B C ,\ /_A B C=\ /_A C B and the bisectors of /_A B C\ a n d\ /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0 .

In a parallelogram A B C D , the bisectors of /_A\ a n d\ /_B meet at Odot Find /_A O Bdot

In a \ A B C ,\ A D bisects /_A\ a n d\ /_C >/_Bdot Prove that /_A D B >\ /_A D C .

RD SHARMA ENGLISH-UNDERSTANDING PHASE-II (QUADRILATERALS)-All Questions
  1. In Figure, determine /P+/Q+/R+/S+/Tdot

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  2. A B C D E is a regular pentagon. The bisector of /A of the pentagon me...

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  3. In quadrilateral A B C D ,\ A O\ a n d\ B O are the bisectors of /A\ a...

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  4. A B C D E is a regular pentagon and bisector of /B A E\ meets C D\ a...

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  5. In Figure, bisectors of /B\ a n d\ /D of quadrilateral A B C D meet C ...

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  6. Define the following terms: (i) Quadrilateral            (ii)   Conv...

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  7. In a quadrilateral, define each of the following: (i) Sides        ...

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  8. Complete each of the following, so as to make a true statement: A q...

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  9. In Figure, A B C D is a quadrilateral. Name a pair of adjacent sides. ...

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  10. The angles of a quadrilateral are 110^0,\ 72^0,\ 55^0\ a n d\ x^0dot F...

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  11. The three angles of a quadrilateral are respectively equal to 100^0,...

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  12. A quadrilateral has three acute angles each measures 80^0dot What i...

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  13. A quadrilateral has all its four angles of the same measure. What i...

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  14. Two angles of a quadrilateral are of measure 65^0 and the other two an...

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  15. Three angles of a quadrilateral are equal. Fourth angle is of measu...

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  16. The angles of a quadrilateral are in the ratio 3:5: 9:13. Find all th...

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  17. If the sum of the two angles of a quadrilateral is 180^0dot What is...

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  18. In Figure, find the measure of /M P N

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  19. theorem 1 (Exterior angle sum property) if the sides of quadrilateral ...

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  20. In Figure, the bisectors of /A\ a n d\ /B meet at a point Pdot If /C=1...

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