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In perpendiculars from any point within an angle on its arms are congruent, prove that it lies on the bisector of that angle.

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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. A B C is a triangle and D is the mid-point of B C . The perpendiculars...

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  2. A B C is a triangle is which B E and C F are, respectively, the perpen...

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  3. In perpendiculars from any point within an angle on its arms are co...

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  4. In Figure, A D\ |C D\ and C B\ | CD If A Q=B P\ a n d\ D P=C Q , prov...

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  5. A B C D is a square, X\ a n d\ Y are points on sides A D\ a n d\ B C r...

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  6. Which of the following statements are true (T) and which are false ...

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  7. Fill in the blanks in the following so that each of the following st...

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  8. In a A B C ,\ if /A=45^0\ a n d\ /B=70^0dot Determine the shortest ...

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  9. In a A B C , if /A=50^0\ a n d\ /B=60^0 , determine the shortest a...

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  10. In Figure, P Q > P R. Q S\ a n d\ R S are the bisectors of / Q and /R ...

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  11. In Figure, sides L M\ a n d\ L N OF /\ LMN are extended to P\ a n d\ Q...

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  12. In Figure, P Q=P Rdot Show that P S > P Q

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  13. In Figure, A B > A C. Show that A B > A D.

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  14. If D is any point on the base B C produced, of an isosceles tria...

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  15. In Figure, if A D is the bisector of L A , show that: A B > B D (ii) ...

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  16. Show that in a right angled triangle, the hypotenuse is the longest...

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  17. In Figure, A C > A B and A D is the bisector of / A . Show that A D C ...

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  18. Show that the sum of the three altitudes of a triangle is less than...

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  19. Prove that any two sides of a triangle are together greater than tw...

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  20. Prove that the perimeter of a triangle is greater than the sum of it...

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