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Quadrilaterals Test - 2

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Quadrilaterals Test - 2
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Weekly Quiz Competition
  • Question 1
    1 / -0

    The quadrilateral formed by joining the midpoints of the sides of a quadrilateral PQRS, taken in order, is a rectangle if

    Solution

    The quadrilateral formed by joining the midpoints of the sides of quadrilateral PQRS, taken in order, is a rectangle if the diagonals of PQRS are perpendicular.

     

  • Question 2
    1 / -0

    The quadrilateral formed by joining the mid points of the sides of a quadrilateral PQRS, taken in order is a rhombus if

    Solution

    The quadrilateral formed by joining the midpoints of the sides of quadrilateral PQRS, taken in order, is a rhombus if the diagonals of PQRS are equal in length.

     

  • Question 3
    1 / -0

    The number of measurements required to construct a quadrilateral is

    Solution

    We must have a minimum of 4 measurements to construct a quadrilateral.

     

  • Question 4
    1 / -0

    If angles P, Q, R and S of a quadrilateral PQRS are in the ratio of 3 : 7 : 6 : 4, then PQRS is a

    Solution

    Sum of angles of a quadrilateral = 360°
    3x + 7x + 6x + 4x = 360°
    20x = 360°
    x = 18°
    The angles measure 54°, 126°, 108° and 72°.
    It is a trapezium as ∠P + ∠Q = 180°
    And, ∠R + ∠S = 180°

    Co-interior angles are supplementary for a pair of parallel lines.

     

  • Question 5
    1 / -0

    To construct a parallelogram, the minimum number of measurements required is

    Solution

    We must have a minimum of 3 measurements.

  • Question 6
    1 / -0

    If PQ and RS are two perpendicular diameters of a circle, then PRQS is a

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