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Q.

Which of the following statements is true?
 


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a

All the angles of a parallelogram can be acute.

b

If the diagonals of a quadrilateral are at right angles it is a rhombus

c

If the diagonals of a quadrilateral are at right angles the figure formed by joining the mid points of the adjacent sides is a rectangle.

d

If one pair of opposite sides is parallel and the other pair of opposite sides is equal in a quadrilateral, it is a parallelogram.

answer is C.

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Detailed Solution

A rectangle is created by joining the centers of adjacent sides of a quadrilateral whose diagonals form a right angle.
Three quadrilaterals in geometry have sides that are perpendicular to each other and are as follows:
  • Rhombus
  • Kite
  • Square

  • Thanks to symmetry, the figure created by joining the centers of the adjacent sides of the Square, Rhombus and Kite quadrilaterals is a rectangle.
    So this statement is accurate.
    So the correct option is 3.
     
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