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Constructions Test - 3

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Constructions Test - 3
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Weekly Quiz Competition
  • Question 1
    1 / -0

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

    Solution

    With the help of ruler & compass, it is not possible to construct an angle which is not a multiple of 150 .

    As we know , 37.50 is a multiple of 150 . Hence, we can construct an angle of  37.50 with the help of ruler and compass.

  • Question 2
    1 / -0

    With the help of a rular 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 in these option, 350 is not a multiple of 150 ,so we can not construct an angle of 350.

  • Question 3
    1 / -0

    The construction of △ABC in which AB = 5 cm, ∠A = 750 is not possible when difference of BC and AC is equal to

    Solution

    The construction of △ABC is not possible as the difference of other two sides of a triangle should be less than its base i.e AB should be greater than BC-AC.

  • Question 4
    1 / -0

    The construction of △ABC, given that BC = 5 cm, ∠B = 600 is not possible when the difference of AB and AC is equal to______.

    Solution

    The construction of △ABC is not possible when difference of the other two sides of a triangle is greater than its base i.e BC<AB-AC.

  • Question 5
    1 / -0

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

    Solution

    The construction of △ABC is possible when difference of other two sides is less than its base i.e BC> AB-AC.

  • Question 6
    1 / -0

    The construction of a triangle ABC, given that BC = 6 cm, ∠B = 450 is not possible when difference of AB and AC is equal to ____.

    Solution

    The construction of △ABC  is not possible when the difference of other two sides is greater than its base.

  • Question 7
    1 / -0

    The construction of a △ABC, given that BC = 3 cm, ∠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, the difference of other two sides should be less than its base.

    As in this case AB - AC < BC,  So we can construct this triangle.

  • Question 8
    1 / -0

    The construction of a △ABC in which AB = 4 cm, 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 is not possible when the difference of other two sides is greater than its base.

  • Question 9
    1 / -0

    The construction of a △ABC, given AB = 5.2 cm, ∠A = 450 is possible when the sum of AC and BC is equal to ____.

    Solution

    To construct a triangle whose base, base angle and sum of other two sides are given is possible when the sum of other two sides is greater than its base.

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