Construction

15 Questions | Total Attempts: 263

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Construction Quizzes & Trivia

Time: 30 Minute


Questions and Answers
  • 1. 
    With the help of a ruler and a compass, it is possible to construct an angle of:
    • A. 

      50o

    • B. 

      40o

    • C. 

      37.5o

    • D. 

      29o

  • 2. 
    In the construction of ΔABC, AB = 5 cm, ∠A=75o is not possible when difference of BC and AC is equal to:
    • A. 

      3.5 cm

    • B. 

      4 cm

    • C. 

      4.5 cm

    • D. 

      5.5 cm

  • 3. 
    In the construction of ΔABC, BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to:
    • A. 

      6.9 cm

    • B. 

      5.2 cm

    • C. 

      5 cm

    • D. 

      4 cm

  • 4. 
    Which of the following angles cannot be constructed with the help of a ruler and a compass?
    • A. 
    • B. 
    • C. 
    • D. 
  • 5. 
    Two or more circles are congruent if they have same:
    • A. 

      Radii

    • B. 

      Diameter

    • C. 

      Radii and diameter

    • D. 

      None of the above

  • 6. 
    A quadrilateral could be drawn, if the measures of its:
    • A. 

      Four angles and one side are given

    • B. 

      Four sides are given

    • C. 

      Three sides and a diagonal are given

    • D. 

      Four sides and one angle are given

  • 7. 
    The point in the plane of a triangle which is at equal perpendicular distances from the three sides of the triangle is its:
    • A. 

      Incentre

    • B. 

      Circumcentre

    • C. 

      Orthocentre

    • D. 

      Centroid

  • 8. 
    On a ray AB with initial point A, taking A as centre and some radius, draw an arc of a circle, which intersects AB, say at a point D. Taking D as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point E. Draw the ray AC passing through E. Then, the measure of ∠CAB is
    • A. 

      15o

    • B. 

      30o

    • C. 

      45o

    • D. 

      60o

  • 9. 
    It is possible to construct a triangle ABC whose sides are:
    • A. 

      2 cm, 3 cm and 5 cm

    • B. 

      3 cm, 2 cm and 6 cm

    • C. 

      3 cm, 4 cm and 5 cm

    • D. 

      4 cm, 3 cm and 8 cm

  • 10. 
    To construct a right triangle whose base is 12 cm and the sum of its hypotenuse and the other side is 18 cm. We draw a line segment AB of 12 cm. Draw a ray AX making 90o with AB. The next step is:
    • A. 

      Cut a line segment BD 18 cm on AX

    • B. 

      Cut a line segment AD 18 cm on AX

    • C. 

      Cut a line segment AD 18 cm on AB

    • D. 

      Cut a line segment BD 18 cm on AB

  • 11. 
    A triangle divides the plane into____ parts.
    • A. 

      2

    • B. 

      3

    • C. 

      4

    • D. 

      6

  • 12. 
    In ΔABC if ∠B =∠C=30o, which of the following is the longest side?
    • A. 

      AC

    • B. 

      BC

    • C. 

      AB

    • D. 

      None of the above

  • 13. 
    In a ΔABC if ∠A=50o and ∠B=70o then the shortest and the largest sides of the triangles are:
    • A. 

      BC, AC

    • B. 

      AB, BC

    • C. 

      AB, AC

    • D. 

      None of the above

  • 14. 
    What is the supplementary angle of 108o ?
    • A. 

      70.5o

    • B. 

      71o

    • C. 

      72o

    • D. 

      72.5o

  • 15. 
    In the construction of ΔABC, BC=3 cm, ∠C=600, is possible when difference of AB and AC is equal to:
    • A. 

      2.8 cm

    • B. 

      3 cm

    • C. 

      3.1 cm

    • D. 

      3.2 cm