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In Figure, A B and CD are respectively t...

In Figure, `A B` and CD are respectively the smalles and longest sides of a quadrilateral `A B C Ddot` Show that `/_A >/_C` and `/_B >/_Ddot`

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In Figure,AB and CD are respectively the smallest and longest sides of a quadrily the ABCD .Show that /_A>/_C and /_B>/_D

AB and CD are respec­tively the smallest and longest sides of a quadrilateral ABCD (see th e given figure). Show that angle A gt angle C and angle B gt angle D

In figure OA*OB=OC*OD. Show that /_A=/_C and /_B=/_D

In Figure, A N and C P are perpendicular to the diagonal B D of a parallelogram A B C Ddot Prove that : A D N~= C B P (ii) A N=C P

If ABCD is a quadrilateral in which AB|CD and AD=BC, prove that /_A=/_B.

p A N D q are any two points lying on the sides D C a n d A D respectively of a parallelogram A B C Ddot Show that a r( A P B)=a r ( B Q C)dot

E , F , G , H are respectively, the mid-points of the sides A B ,B C ,C D and D A of parallelogram A B C D . Show that the quadrilateral E F G H is a parallelogram and that its area is half the area of the parallelogram, A B C Ddot GIVEN : A quadrilateral A B C D in which L ,F ,G ,H are respectively the mid-points of the sides A B ,B C ,C D and D Adot TO PROVE : (i) Quadrilateral E F G H is a parallelogram a r(^(gm)E F G H)=1/2a r(^(gm)A B C D) CONSTRUCTION : Join A C and H F

In /_ABC, if /_A=36^(@) and /_B=64^(@) name the longest and shortest sides of the triangle.

In ABC, if /_A=40^(@) and /_B=60^(@) . Determine the longest and shortest sides of the triangle.

If A B C\ a n d\ D E F are two triangles such that A B ,\ B C are respectively equal and parallel to D E ,\ E F , then show that Quadrilateral A B E D is a parallelogram Quadrilateral B C F E is a parallelogram A C=D F (iv) A B C\ ~=\ D E F

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S i...

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

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  3. In Figure, A B and CD are respectively the smalles and longest sides...

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

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

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

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

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  8. If the altitudes from two vertices of a triangle to the opposite sid...

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

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

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  11. 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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  12. 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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  13. In Figure, l m and M is the mid-point of the line segment A Bdot Prov...

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

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  15. In Figure, O is the mid point of A B and C D . Prove that A O C~= B ...

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

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

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  18. 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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  19. Two triangles are congruent if two sides and the included angle of o...

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  20. In DeltaABC ,/A=100^0 and A B=A Cdot Find /B and /C

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