Olympiad – Class VII – Mathematics - Practical Geometry

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Question - 1

Which among the following is used to construct a triangle?

  • A The lengths of the three sides
  • B The perimeter of the triangle
  • C The measures of three angles
  • D The names of three vertices

Question - 2

In the given figure, find the measure of ∠RQT,if PQ =QR and ∠QPR=60o

  • A 60o
  • B 140o
  • C 120o
  • D 100o

Question - 3

A triangular sign board is isosceles. If the unequal side is 7 cm and one of the equal sides is 6 cm, what is the measure of the third side?

  • A 5 cm
  • B 6 cm
  • C 7 cm
  • D Either (A) or (C)

Question - 4

Which of the following statements is incorrect?

  • A The sum of angles in a triangle is 2 right angles.
  • B The exterior angle of a triangle is equal to the interior angle of the triangle
  • C The hypotenuse is the longest side of a right angled triangle.
  • D All the above

Question - 5

Identify the true statement

  • A A triangle with 3 equal sides is isosceles
  • B A triangle with a 110o angle is right angled.
  • C A triangle with 3 acute angles is acute angled.
  • D A triangle with 2 equal sides is equilateral.

Question - 6

In which of the following cases is the construction of a triangle not possible?

  • A Measures of 3 sides are given
  • B Measures of 2 sides and an included angle are given.
  • C Measures of 2 angles and a side are given.
  • D Measures of 3 angles are given

Question - 7

Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides

  • A 3 cm, 4 cm, 5 cm
  • B 7 cm, 6 cm, 5 cm
  • C 10 cm, 7 cm, 2 cm
  • D 12 cm, 8 cm, 6 cm

Question - 8

David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as I,m and n.

Which of the following is true?

  • A l // m
  • B l // n
  • C n // m
  • D Either (B) or (C)

Question - 9

David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as I,m and n.

What can you say about lines land n?

  • A l // n
  • B l⊥n
  • C 1 is the same line as n
  • D Neither (A) nor (B)

Question - 10

David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as I,m and n.

What do you call the line n with respect to the lines l and m?

  • A n is a line parallel to l and m.
  • B n is a line parallel to l only.
  • C n is a transversal
  • D n is a line parallel to m only.
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