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P Q R S is a square. P R and S Q interse...

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

Text Solution

Verified by Experts

`/_SPQ=90^@`
`/_QPO=1/2/_QPS=45^@`
`/_PQD=45^@`
`In /_QPO`
`/_OPQ+/_PQO+/_QOP+/_PQO=180^@`
`45+45+/_QOP=180`
`/_QOP=90^@`.
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RD SHARMA-QUADRILATERALS-All Questions
  1. Show that the diagonals of a square are equal and bisect each other...

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

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  3. P Q R S is a square. P R and S Q intersect at Odot State the measure o...

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  4. ABCD is a rectangle in which diagonal AC bisects /A as well as /C ....

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  5. A B C D is a rhombus with /A B C=56^0dot Determine /A C Ddot

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  6. Each of the four angles of a rectangle is a right angle.

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  7. Each of the four sides of a rhombus is of the same length.

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  8. A B ,C D are two parallel lines and a transversal l intersects A B at ...

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  9. If A B C and D E F are two triangles such that A B ,B C are respecti...

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  10. In Figure, A B C D is a parallelogram and X and Y are points on the ...

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  11. In Figure, A B C is an isosceles triangle in which A B=AC. CP parellel...

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  12. In Figure, X ,Y are the mid-points of opposite sides A B and D C of a ...

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  13. Two segments A C and B D bisect each other at O . Prove that A B C D i...

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  14. Each of the angles of a square is a right angle and each of the four ...

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  15. The diagonals of a rectangle are of equal length.

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  16. If the diagonals of a quadrilateral bisect each other, then the qua...

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  17. A quadrilateral is parallelogram if its opposite angles are equal.

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  18. A quadrilateral is a parallelogram if its opposite sides are equal.

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  19. In Figure, A B C D is a parallelogram in which /A=60^0 . If the bisect...

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  20. In figure, Show that if the diagonals of a quadrilateral are equal and...

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