Triangles

Class 9 · Mathematics

62 questions26 easy23 medium13 hard

Sample Questions

Q1.In the figure, P is a point inside triangle ABC. Prove that PA + PB + PC > (AB + BC + CA)/2. Which key inequality justifies this?

  • AThe triangle inequality applied to each sub-triangle
  • BExterior angle theorem
  • CIsosceles triangle property
  • DAngle sum property

Q2.In right triangles ABC and PQR (right angles at C and R), hypotenuses AB = PQ = 13 cm, and BC = QR = 5 cm. By RHS, AC =

  • A8 cm
  • B10 cm
  • C12 cm
  • D13 cm

Q3.In the given figure, if AD is the perpendicular bisector of BC, then which of the following cannot be concluded?

  • ABD = DC
  • BAB = AC
  • C∠ADB = ∠ADC = 90°
  • D∠BAC = ∠BCA

Q4.In triangle ABC, AB = AC and ∠A = 40°. Find ∠B.

  • A70°
  • B80°
  • C40°
  • D50°

Q5.The AAS congruence rule requires:

  • ATwo angles and a non-included side equal
  • BTwo sides and a non-included angle equal
  • CAll three angles equal
  • DThe included side equal

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

AAS congruenceASA congruenceCPCTCongruence of trianglesExterior angle theoremInequalities in triangleProperties of isosceles triangleRHS congruenceSAS congruenceSSS congruence

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