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Quadrilaterals Test - 15

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Quadrilaterals Test - 15
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  • Question 1
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    Mary owns a quadrilateral shaped barren field, all sides of which are of different lengths. She joined the mid-points of the four sides of the field and planted trees in the area enclosed by the lines. The area in which she planted trees is in the shape of a

    Solution

    The quadrilateral formed as a result of joining the midpoints of a quadrilateral is always a parallelogram.

    Hence, the correct answer is option C.

  • Question 2
    1 / -0

    The midpoints of a rectangle are joined to form a quadrilateral. The midpoints of the quadrilateral thus formed are again joined. This process is continued for the next 5 times. The quadrilateral formed in the last step is a

    Solution

    When the midpoints of a rectangle are joined, the quadrilateral formed is a rhombus and vice-versa.

    The correct answer is A.

  • Question 3
    1 / -0

    If the angles of a quadrilateral are in the ratio of 6:8:10:12, then what are the angles?

    Solution

    Since the angles of the quadrilateral are in the ratio 6:8:10:12, the angles are 6x, 8x, 10x and 12x.

    ∴6x + 8x + 10x + 12x = 360° [Angle sum property of quadrilateral]

    ⇒ 36x = 360°

    x = 10°

    Thus, the required angles are 60°, 80°, 100°, 120°.

    The correct answer is C.

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