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

In Figure, `P Q=P Rdot` Show that `P S > P Q`

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In Figure, A P _|_l a n d P R > P Q . Show that A R > A Q Given: A P_|_l a n d P R > P Q To Prove: A R > A Q Construction: Mark a point S on P R such that P S=P Qdot Join A S

In Figure, P Q R S and A B R S are parallelograms and X is any point on side B Rdot Show that : a r(^(gm)P Q R S)=a r(^(gm)A B R S) a r(A X S)=1/2a r( P Q R S)

In Figure, P S D A is a parallelogram in which P Q=Q R=R S\ a n d\ A P B Q C Rdot Prove that a r\ (\ P Q E)=\ a r\ (\ C F D)dot

In Fig. 4.90, if P S Q R , prove that P O S ~ R O Q . (FIGURE)

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 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 : Joint P R a n d Q S

In A B C and P Q R Figure, A B=P Q ,B C=Q R and C B and R Q are extended to X and Y respectively and /_A B X =/_P Q Ydot Prove that A B C~=P Q Rdot Figure

In Figure, P Q R is a triangle and S is any point in its interior, show that S Q+S R

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .

In Fig. 6.15, /_P Q R=/_P R Q , then prove that /_P Q S=/_P R T .

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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, P Q > P RdotQ S\ a n d\ R S are the bisectors of L Q and /R...

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

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

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  4. In Figure, A B > A Cdot Show that A B > A D

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

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

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

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

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

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  10. Prove that any two sides of a triangle are together greater than twi...

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

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  12. Show that the difference of any two sides of a triangle is less than...

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  13. In Figure, P Q R is a triangle and S is any point in its interior, s...

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  14. In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P >...

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  15. In Figure, A P\ |l\ a n d\ P R > P Q . Show that A R > A Q Given: A P...

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  16. In Figure, P Q R S is a quadrilateral. P Q is its longest side and R...

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  17. In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\...

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  18. Of all the lines segments drawn from a point P to a line m not conta...

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  19. In Figure, /E >/A\ a n d\ /C >/D . Prove that A D > E C

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  20. In Figure, T is a point on side Q R of P Q R and S is a point such th...

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