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Practical Geometry Test - 2

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Practical Geometry Test - 2
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  • Question 1
    1 / -0

    Given below are the steps of construction to construct a quadrilateral ABCD where AB = 5.6 cm, BC = 4.1 cm, CD = 4.4 cm, AD = 3.3 cm and∠A=75∘.
    Which of the following steps is INCORRECT?

    Step 1: Draw AB = 5.6 cmand construct ∠BAX=75∘.
    Step 2: With A as centre and radius = 3.3 cm, cut off AD = 3.3 cm along AX.
    Step 3: Join BD. With D as centre and radius = 4.1 cm, draw an arc.
    Step 4: With B as centre and radius =4.1cm, draw an arc to cut the arc drawn in above step at C. Join BC, CD to obtain the required quadrilateral ABCD.
    Solution

    Step III is incorrect since with D as centre CD is drawn with radius = 4.4 cm.

  • Question 2
    1 / -0

    It is possible to construct a quadrilateral with the sufficient data (other than five simple cases), where less than ____ parts but some other relations between them are given.

  • Question 3
    1 / -0

    Arrange the steps of construction while constructing a parallelogram ABCD, given thatAB = 5 cmBC = 4 cmand∠B = 60.

    1. With A as centre and radius equal to 4 cm, draw an arc cutting AY at D.
    2. At A, draw ∠YAB= 120∘.  [∵A + B= 180]
    3. At B, draw ∠XBA = 60.
    4. Draw AB = 5cm.
    5. Join CD.
    6. With B as centre and radius equal to 4 cm, drawn an arc cutting BX at C.
  • Question 4
    1 / -0

    Arrange the steps of construction while constructing a quadrilateral ABCD given AB = 5.1 cm, AO = 4 cm, BC = 2.5 cm, ∠A=60 and ∠B=85.

    Step 1: With B as centre and radius 2.5 cm, cut off BC = 2.5 cm along BY.
    Step 2 : Construct ∠XAB = 60 at A.
    Step 3: Join CD.
    Step 4: With A as centre and radius 4cm, cut off AD =4 cm along AX.
    Step 5: Draw AB = 5.1 cm.
    Step 6: Construct ∠ABY = 85 at B.
  • Question 5
    1 / -0

    If AB||DC, AB = 7cm, BC = 6cm, AD = 6.5cm and ∠B = 70, then which figure can be constructed?

    Solution

    To construct a quadrilateral, knowledge of at least five elements is necessary.

  • Question 6
    1 / -0

    Given below are the steps of construction of a quadrilateral ABCD, where AB = 3.5 cm, BC = 6.5 cm,∠A = 75∠B = 105 and ∠C = 120.

    Which of the following steps is INCORRECT?

    Step 1: Draw AB = 3.5cm.
    Step 2: Draw ∠XAB = 75 at A and ∠ABY=105 at B.
    Step 3: With B as centre and radius BC = 6.5 cm, draw an arc to intersect BV at C.
    Stap4: At C, draw ∠ADC = 120 such that CZ meets AX at D.
    Solution

    The correct step is : At C, ∠ACD=120 draw such that CZ meets AX at D.

  • Question 7
    1 / -0

    Which of the following statements is true about the construction of a quadrilateral where AB = 3 cm, BC = 5 cm, AC = 9 cm, AD = 6 cm. CD =2 cm?

    Solution

    Here, it is given that AD + DC < AC which does not satisfy triangle inequality and hence quadrilateral cannot be drawn.

  • Question 8
    1 / -0

    To construct a quadrilateral ABCD, which of the following parts is necessary?

    Solution

    To construct a quadrilateral measure of at least five parts is necessary. In case of quadrilateral ABCD, if length of AB. BC and measure of ∠A, ∠B, ∠C is required.

  • Question 9
    1 / -0

    Which of the given properties of a parallelogram is necessary to construct it?

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