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The figure formed by joining the mid-...

The figure formed by joining the mid-points of the adjacent sides of a rhombus is a square        (b)  rectangle    (c)  trapezium    (d)  none of these

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By mid-point theorem
In `triangleABD`, `EH |\ | BD` (Mid-point theorem)
In `triangleCBD`, `FG |\ | BD` (Mid-point theorem)
In `triangleACD`, `GH |\ | AC` (Mid-point theorem)
In `triangleABC`, ` EF |\ | AC` (Mid-point theorem)
As, `ACbotBD`
`therefore` adjacent sides of quadrilateral EFGH are perpendicular Rectangle .
Hence, option (b) is correct.
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RD SHARMA-QUADRILATERALS-All Questions
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  2. Show that the quadrilateral formed by joining the mid-points of the ...

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

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  11. A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d...

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  12. If an angle of a parallelogram is two-third of its adjacent angle, f...

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  13. If the degree measures of the angles of quadrilateral are 4x ,\ 7x ...

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  14. In a quadrilateral A B C D ,\ /A+/C is 2 times /B+/Ddot If /A=140^@\ a...

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  15. If the diagonals of a rhombus are 18 c m\ a n d\ 24 c m respectively...

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  16. The diagonals A C\ a n d\ B D of a rectangle A B C D intersect each ot...

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  17. A B C D is a parallelogram in which diagonal A C\ bisects /B A Ddot...

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  18. In a rhombus A B C D , if /A C B=40^@, then /A D B=(a) 70^@ (b) 45...

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  19. In A B C ,\ /A=30^@,\ /B=40^@a n d\ /C=110^@dot The angles of the t...

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