Constructions

Class 10 · Mathematics

66 questions42 easy15 medium9 hard

Sample Questions

Q1.What is the scale factor if a triangle's sides are 3 cm, 4 cm, 5 cm and the similar triangle's sides are 6 cm, 8 cm, 10 cm?

  • A1/2
  • B2
  • C3
  • D4

Q2.How many tangents can be drawn to a circle from a point ON the circle?

  • A0
  • B1
  • C2
  • DInfinite

Q3.A triangle ABC is to be constructed similar to triangle PQR with scale factor 3:2. If PQ = 6 cm, the side AB will be:

  • A4 cm
  • B6 cm
  • C9 cm
  • D12 cm

Q4.Which geometric construction requires finding the midpoint of the line segment joining the external point to the center?

  • ADividing a line segment
  • BConstructing a similar triangle
  • CDrawing tangents from an external point
  • DBisecting an angle

Q5.In dividing a line segment in ratio m:n using the construction method, after drawing the ray AX, we join the nth point to B and draw lines parallel to this through the other points. The mth point divides AB in ratio:

  • Am:n
  • Bn:m
  • Cm:(m+n)
  • D(m+n):n

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

Construction of similar trianglesConstruction of tangents to a circleDivision of a line segmentGeometric constructionsScale factorTangent from external point

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