Constructions

Class 9 · Mathematics

58 questions28 easy17 medium13 hard

Sample Questions

Q1.The midpoint of segment PQ can be found by:

  • AMeasuring PQ and dividing by 2 using a ruler
  • BDrawing the perpendicular bisector of PQ
  • CDrawing a circle with center P
  • DDrawing angle bisectors from P and Q

Q2.A 150° angle is constructed as:

  • ABisecting 300°
  • B90° + 60°
  • C180° - 30°
  • DBoth B and C (they give 150°)

Q3.A triangle with sides 3 cm, 4 cm, and 5 cm can be constructed because:

  • AAll sides are given (SSS)
  • B3 + 4 > 5 (triangle inequality satisfied)
  • CBoth A and B
  • DIt forms a right triangle

Q4.To construct a triangle with base angles B and C summing to more than 180°, which conclusion is correct?

  • AThe third angle would be negative — impossible
  • BThe triangle can still be constructed
  • CWe need a special compass
  • DAn obtuse triangle results

Q5.The instruments used in geometric constructions are:

  • ARuler and protractor
  • BCompass and ruler (straightedge)
  • CSet square and protractor
  • DDivider and scale

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Angle bisectorBisecting a line segmentBisecting an angleCompass and straightedgeConstructing anglesConstructing trianglesConstruction of specific anglesPerpendicular bisector

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