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P Q R S is a square such that P R\ a n d...

`P Q R S` is a square such that `P R\ a n d\ S Q` intersect at `Odot` State the measure of `/_P O Q`

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P Q R S is a square such that P R\ a n d\ S Q intersect at O . State the measure of /_P O Q .

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

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

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)

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

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

P Q R S is a cyclic quadrilateral such that P R is a diameter of the circle. If /_Q P R=67^0\ a n d\ /_S P R=72^0, then /_Q R S= (a) 41^0 (b) 23^0 (c) 67^0 (d) 18^0

P Q R S is a quadrilateral. P R\ a n d\ Q S intersect each other O . In which of the following cases, P Q R S is a parallelogram? (i) _∠P = 100°, ∠Q = 80°, ∠R = 95° (ii) /_P=85^0,\ /_Q=85^0,\ /_R=95^0 (iii) P Q=7C M ,\ Q R=7C M ,\ R S=8C M ,\ S P=8C M (iv) O P=6. 5 c m ,\ O Q=6. 5 c m ,\ O R=5. 2 c m ,\ O S=5. 2 c m

In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S intersect in O . Show that P Q+Q R+R S+S P > P R+Q S PQ+QR+RS+SP<2 (PR+QS) Figure

P Q\ a n d\ R S are two parallel chords of a circle and lines R P\ a n d\ S Q intersect each other at O as shown in Figure. Prove that O P=O Q

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. In a parallelogram A B C D , write the sum of angle A\ a n d\ B

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  2. In a parallelogram A B C D , if /D=115^0, then write the measure of...

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

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

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  5. The diagonals of a rectangle A B C D meet at Odot If /B O C=44^0 , ...

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

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  7. If A B C D is a rectangle with /B A C=32^0, find the measure of /D B C...

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  8. If A B C D is a rhombus with /A B C=56^0, find the measure of /A C D

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  9. The perimeter of a parallelogram is 22cm. If the longer side measur...

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  10. If the angles of a quadrilateral are in the ratio 3:5:9:13, then fi...

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  11. If the bisectors of two adjacent angles A\ a n d\ B of a quadrilater...

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  12. In a parallelogram A B C D , if /A=(3x-20)^0,\ /B\ (y+15)^0,\ /C=(x+40...

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  13. If measures opposite angles of a parallelogram are (60-x)^0a n d\ (...

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  14. In a parallelogram A B C D ,\ the bisector of /A also bisects B C at ...

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  15. In Figure, P Q R S is an isosceles trapezium. Find x\ a n d\ y

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  16. In Figure, A B C D is a trapezium. Find the value of x\ a n d\ y

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  17. In Figure, P Q R S is a rhombus in which the diagonal P R is produc...

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  18. In Figure, A B C D is a rectangle in which diagonal A C is produced ...

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  19. A B C D is a parall e l ogram. If /C=58, f i n d /A

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  20. Complete each of the following statements by means of one of those ...

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