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Show that the quadrilateral, formed by j...

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

A

rhombus

B

square

C

rectangle

D

parallelogram

Text Solution

Verified by Experts

The correct Answer is:
B

The figures formed by joining the midpoints of the adjacent sides of different types of quadrilaterals are :
`{:("Quadrilateral","Square","||gm","Rectangle","Rhombus"),(darr,darr,darr,darr,darr),("||gm","square","||gm","Rhombus","Rectangle"):}`
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RS AGGARWAL-QUADRILATERALS-Multiple Choice Questions (Mcq)
  1. If bisectors of angle A and angle B of a quadrilateral ABCD intersect ...

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

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

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

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  5. The figure obtained by joining the mid-points of the adjacent sides of...

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

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  7. The quadrilateral formed by joining the midpoints of the sides of a qu...

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  8. The quadrilateral formed by joining the midpoints of the sides of a qu...

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  9. The figure formed by joining the mid-points of the sides of a quadrila...

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

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

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  12. If angle A, angle B, angle C and angle D of a quadrilateral ABCD, ta...

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  13. Which of the following is not true for a parallelogram ?

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  14. If APB and CQD are two parallel lines then the bisectors of angle AP...

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  15. If area of a parallelogram with sides l and b is A and that of a recta...

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  16. P is any point on the side BC of a triangle ABC. P is joined to a. If ...

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  17. The parallel sides of a trapezium are a and b respectively. The line j...

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  18. Two parallelograms are on equal bases and between the same parallels. ...

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  19. Three statements are given below: I. In a ||gm, the angle bisectors...

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  20. Three statements are given below: I. In a rectangle ABCD, the diago...

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