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Constructions Test - 7

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Constructions Test - 7
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Weekly Quiz Competition
  • Question 1
    1 / -0

    With the help of a ruler and a compass, it is not possible to construct an angle of_______.

    Solution

    With the help of a ruler and a compass, it is not possible to construct an angle which is not a multiple of 150 and as here 800 is not a multiple of 150, so, we can not construct it.

  • Question 2
    1 / -0

    The construction of a △ABC, given that BC = 3cm,∠C = 600, is possible when difference of AB and AC is equal to______.

    Solution

    To construct a triangle whose base, base angle and difference of other two sides are given, then in that case, the difference of other two sides should be less than the base. i.e.. AB - AC should be less than BC.

  • Question 3
    1 / -0

    It is not possible to construct a triangle whose sides are________.

    Solution

    To construct a triangle with given three sides is only possible when sum of the two sides is greater than the third side. But in this case, 3cm +3cm is not greater than the third side i.e. 6cm, so we can not construct it.

  • Question 4
    1 / -0

    It is not possible to construct a △ABC with BC = 5cm,∠B = 750and AB + AC equal to________. 

    Solution

    To construct a triangle whose base, base angle and sum of other two sides are given, the sum of other two sides should be more than its base.

    But in this case, AB + AC <  BC, so it is impossible to construct the △ABC, when AB + AC =  4.5 cm.

  • Question 5
    1 / -0

    With the help of a ruler and a compass, it is possible to construct an angle of_____.

    Solution

    With the help of a ruler and a compass, we can construct an angle which is the multiple of 150 and as here, 37.50 is a multiple of 150, so, we can construct it.

  • Question 6
    1 / -0

    The construction of a △ABC with AB = 4 cm and ∠A = 600 is not possible when difference of BC and AC is equal to_____.

    Solution

    To construct a triangle whose base, base angle and difference of other two sides are given, the difference of other two sides must be less than its base.

    But in this case, BC - AC > AB, so, we cannot construct it.

  • Question 7
    1 / -0

    The construction of a △ABC with AB = 6 cm and ∠A = 600  is not possible when sum of BC and CA is equal to_______.

    Solution

    To construct a triangle whose base, base angle and sum of other two sides are given, the sum of other two sides should be more than its base.

    But here, BC + CA < AB, so, we cannot construct it.

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