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P Q R S is a quadrilateral. P R\ a n d\ ...

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

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To determine in which case the quadrilateral PQRS is a parallelogram, we will analyze each case using the properties of quadrilaterals. ### Step-by-Step Solution: **Step 1: Understand the properties of a parallelogram.** A quadrilateral is a parallelogram if: 1. Opposite sides are equal. 2. Opposite angles are equal. ...
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RD SHARMA-QUADRILATERALS-All Questions
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  2. The consecutive sides of a quadrilateral have (a) no common point  ...

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  8. The bisectors of any two adjacent angles of a parallelogram intersec...

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  9. Show that the bisectors of angles of a parallelogram form a rectang...

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  11. The figure formed by joining the mid-points of the adjacent sides o...

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  12. Show that the quadrilateral formed by joining the mid-points of the ...

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  13. The figure formed by joining the mid-points of the adjacent sides o...

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  14. Show that the quadrilateral, formed by joining the mid-points of the ...

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  15. The figure formed by joining the mid-point of the adjacent sides of...

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  16. Find the measure of all the angles of a parallelogram, if one angle is...

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  17. In a parallelogram A B C D , if /D A B=75^@ and /D B C=60^@, then /B D...

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  18. In a parallelogram A B C D , if /D A B=75^@and /D B C=60^@, then /B D ...

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