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GIVEN : P Q R S is a quadrilateral. P Q...

GIVEN : `P Q R S` is a quadrilateral. `P Q` is its longest side and `R S` is its shortest side. TO PROVE : (i) `/_R >/_P` (ii) `/_S>/_Q` CONSTRUCTION : Join `P R` and `Q Sdot` Figure

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To solve the problem, we need to prove the following statements based on the given quadrilateral PQRS, where PQ is the longest side and RS is the shortest side: **Given:** - Quadrilateral PQRS - PQ is the longest side - RS is the shortest side **To Prove:** ...
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In Figure, P Q R S is a quadrilateral. P Q is its longest side and R S is its shortest side. Prove that /_R >\ /_P\ a n d\ /_S >\ /_Q .

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P Q R S is a square. P R and S Q intersect at Odot State the measure of /_P O Qdot

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In Figure, P Q R S is a quadrilateral and T\ a n d\ U are respectively points on P S and R S such that P Q=R Q ,\ /_P Q T=/_R Q U\ a n d\ /_T Q S=/_U Q Sdot Prove that Q T=Q Udot

In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\ Q S intersect in O . Show that : (i) P Q+Q R+R S+S P > P R+Q S (ii) P Q+Q R+R S+S P<2(P R+Q S)

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. Prove that in a quadrilateral the sum of all the sides is greater t...

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  2. In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S i...

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  3. GIVEN : P Q R S is a quadrilateral. P Q is its longest side and R S ...

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  4. In Figure, A B and CD are respectively the smallest and longest side...

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  5. Of all the line segments drawn from a point P to a line m not containi...

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  6. In Figure, A D is a median and B L ,C M are perpendiculars drawn from ...

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  7. In Figure, B M and D N are both perpendiculars to the segments A C and...

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  8. If A B C is an isosceles triangle with A B=A C . Prove that the ...

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  9. If the altitudes from two vertices of a triangle to the opposite si...

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  10. A D and B C are equal perpendiculars to a line segment A B . Show that...

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  11. In A B C ,A B=A C , and the bisectors of angles B and C intersec...

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  12. In Figure, it is given that A B=E F ,B C=D E ,A B|B D and F E|C Edot P...

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  13. In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C ...

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  14. In Figure, l II m and M is the mid-point of the line segment A Bdot P...

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  15. In Figure, line l is the bisector of angle A and B is any point on l ....

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  16. In Figure, O is the mid point of A B and C D . Prove that (i) A O C~...

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  17. Prove that measure of each angle of an equilateral triangle is 60^0...

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  18. In Figure, it is given that A E=A D and B D=C Edot Prove that triangl...

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  19. In Figure, it is given that A B=C F ,E F=B D and /A F E=/C B Ddot Prov...

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  20. Two triangles are congruent if two sides and the included angle of ...

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