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In Figure, B E|A C ,\ A D is any line fr...

In Figure, `B E_|_A C ,\ A D` is any line from `A\ to\ B C` intersecting `B E` in `HdotP ,\ Q\ a n d\ R` are respectively the mid-points of `A H ,\ A B\ a n d\ B Cdot` Prove that `/_P Q R=90^0`

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In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ ( P B Q)=\ a r\ (\ A R C)

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Given A B C , lines are drawn through A ,\ B\ a n d\ C parallel respectively to the sides B C ,\ C A\ a n d\ A B ,\ forming P Q Rdot(F igu r e) .Show that B C=1/2Q R

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A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\ B C ,\ C D ,\ D A respectively. Prove that P Q R S is a rectangle.

In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-point of A C . Prove that D P=P C (ii) P R=1/2\ A C

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L B C)=\ a r\ (\ M B C)

In Figure, X\ a n d\ Y are the mid-points of A C\ a n d\ A B respectively, Q P\ B C\ a n d\ C Y Q\ a n d\ B X P are straight lines. Prove that a r\ (\ A B P)=\ a r\ (\ A C Q)

RD SHARMA-QUADRILATERALS-All Questions
  1. In Figure, M ,\ N\ a n d\ P are the mid-points of A B ,\ A C\ a n d\ B...

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  2. A B C is a triangle and through A ,\ B ,\ C lines are drawn para...

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  3. In Figure, B E|A C ,\ A D is any line from A\ to\ B C intersecting B E...

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  4. In figure A B=A C\ a n d\ C P||B A and A P is the bisector of exter...

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  5. Let A B C be an isosceles triangle in which AB=AC If D , E , F be th...

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  6. A B C is a triangle. D is a point on A B such that D=1/4A B\ a n d\ E ...

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  7. In Figure, A B C D is a parallelogram in which P is the mid-point o...

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  8. In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-poi...

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  9. A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n...

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  10. B M\ a n d\ C N are perpendicular to a line passing through the vert...

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  11. Show that the line segments joining the mid-points of the opposite s...

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  12. Fill in the blanks to make the following statements correct The tr...

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  13. In a parallelogram A B C D , write the sum of angle A\ a n d\ B

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  14. In a parallelogram A B C D , if /D=115^@, then write the measure of ...

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  15. P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State ...

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  16. In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect...

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  17. The diagonals of a rectangle A B C D\ meet at O . If /B O C=44^@, f...

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  18. If P Q R S is a square, then write the measure of /S R P

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  19. If A B C D is a rectangle with /B A C=32^@, find the measure of /D B C

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  20. If A B C D is a rhombus with /A B C=56^@, find the measure of /A C D

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