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The quadrilateral formed by joining the mid-points of the side for quadilateral PQRS, taken in order, is a rhombus, if

A

PQRS is a rhombus

B

PQRS is a parallelogram

C

diagonals of PQRS are perpendicular

D

diagonals of PQRS are equal

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The correct Answer is:
D
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MTG IIT JEE FOUNDATION-QUADRILATERALS -EXERCISE (Multiple Choice Questions) (LEVEL-1 )
  1. In a parallelogram ABCD, if angleA = 80^(@) then ZB is equal to

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  2. Two adjacent angles of a parallelogram are in the ratio 2 : 3. The ang...

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  3. PQRS is a square. PR and SQ intersect at O. State the measure of /POQ.

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  4. In a quadrilateral ABCD, angleA + angleC = 180^(@), then angleB + angl...

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  5. In a parallelogram ABCD diagonals AC and BD intersect at O and AC =12....

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  6. One of the diagonals of a rhombus is equal to a side of the rhombus. T...

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  7. Two adjacent angles of a parallelogram are (2x + 25)^(@) and (3x - 5)^...

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  8. The quadrilateral formed by joining the mid-points of the side for qu...

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  9. In a square ABCD, AB = (2x + 3) cm and BC = (3x - 5) cm . Then, the va...

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  10. The two diagonals are equal in a

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  11. In figure, ABCD is a rectangle in which diagonal D AC is produced to E...

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  12. The angle between the two altitudes of a parallelogram through the ver...

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

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  14. Two parallel line l and m are intersected by a transversal p. The quad...

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  15. In figure, PQRS is an isosceles trapezium. Find x

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  16. In figure, PQRS is a rhombus in which the diagonal PR is produced to T...

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  17. In a quadrilateral STAR, if angleS= 120^@, and angleT: angleA : angle ...

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  18. In a parallelogram ABCD if angleA=(3x-20)^(@), angleB=(y+15)^(@) and a...

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  19. In figure, ABCD is a Do trapezium. Find the values of x and y.

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  20. In a quadrilateral ABCD angleA+angleC is 2 times angleB+angleD. If ang...

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