NCERT/Class 9/Mathematics/Constructions

Constructions

Class 9 · Mathematics

58 questions28 easy17 medium13 hard

Sample Questions

Q1.The construction of a 60° angle uses the fact that in an equilateral triangle, the radius of the circumscribed circle relates to the side by:

  • Ar = side/2
  • Br = side
  • Cr = side × √3/2
  • Dr = side × 2

Q2.The instruments used in geometric constructions are:

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

Q3.Trisecting an angle using only compass and straightedge is:

  • APossible for any angle
  • BPossible only for 90°
  • CImpossible in general (classical impossibility)
  • DPossible using more than 5 steps

Q4.The construction of a square with a given side can be accomplished because all interior angles of a square are:

  • A60° (constructible)
  • B90° (constructible by perpendicular bisector)
  • C45° (constructible)
  • D120° (constructible)

Q5.To construct a tangent to a circle from an external point P (using compass and straightedge), the key step is to find the midpoint M of OP and draw a circle of radius:

  • AOP
  • BOM = OP/2
  • CThe original circle's radius
  • DOM + r

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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