Constructions CBSE Questions & Answers

Constructions

This is Mathematics Class 09 Constructions CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
With the help of a ruler and compass, it is possible to construct an angle of
  • A
    \({37.5^0}.\)
    Correct
  • B
    \({40^0}\)
  • C
    \({65^0}\)
  • D
    \({50^0}\)
2
With the help of a rular and compass, it is not possible to construct an angle of
  • A
    \({7.5^0}\)
  • B
    \({35^0}\)
    Correct
  • C
    \({82.5^0}\)
  • D
    \({67.5^0}\)
3
The construction of \(\triangle ABC\) in which AB = 5 cm, \(\angle A = {75^0}\) is not possible when difference of BC and AC is equal to
  • A
    5.5 cm.
    Correct
  • B
    4.5 cm.
  • C
    3.5 cm.
  • D
    4 cm.
4
The construction of \(\triangle ABC\), given that BC = 5 cm, \(\angle B = {60^0}\) is not possible when the difference of AB and AC is equal to
  • A
    4 cm.
  • B
    3 cm.
  • C
    5.9 cm.
    Correct
  • D
    4.2 cm
5
The construction of a triangle ABC, given that BC = 3 cm, \(\angle C = {60^0}\) is possible when the difference of AB and AC is equal to
  • A
    2.8 cm.
    Correct
  • B
    3 cm.
  • C
    3.1 cm.
  • D
    3.2 cm.
6
The construction of a triangle ABC, given that BC = 6 cm, \(\angle B = {45^0}\) is not possible when difference of AB and AC is equal to :
  • A
    5.2 cm
  • B
    5.0 cm
    Correct
  • C
    6.9 cm
  • D
    4.0 cm
7
In the figure, a \(\triangle ABC\) is constructed when its perimeter and its two base angles are given. In this construction line segment XY is drawn equal to :
Question 7 figure 1
  • A
    AB + BC
  • B
    AB + AC
  • C
    BC + CA
  • D
    AB + BC + CA
    Correct
8
The construction of a triangle ABC, given that BC = 3 cm, \(\angle C = {60^0}\) is possible when difference of AB and AC is equal to :
  • A
    3 cm
  • B
    3.1 cm
  • C
    3.2 cm
  • D
    2.8 cm
    Correct
9
The construction of a triangle ABC in which AB = 4 cm, \(\angle A = {60^0}\) is not possible when difference of BC and AC is equal to :
  • A
    3 cm
  • B
    3.5 cm
  • C
    4.5 cm
    Correct
  • D
    2.5 cm
10
The construction of a triangle ABC, given AB = 5.2 cm, \(\angle A = {45^0}\) is possible when the sum of AC and BC is equal to :
  • A
    4.8 cm
  • B
    5 cm
  • C
    5.5 cm
    Correct
  • D
    5.2 cm
11
With the help of a ruler and a compass, it is possible to construct an angle of :
  • A
    \({47.5^0}\)
  • B
    \({40^0}\)
  • C
    \({35^0}\)
  • D
    \({7.5^0}\)
    Correct
12
Which of the following angles cannot be constructed with the help of a ruler and a compass?
  • A
    \(22{1 \over 2}^\circ \)
  • B
    \(7{1 \over 2}^\circ \)
  • C
    \(30{1 \over 2}^\circ \)
    Correct
  • D
    \(37{1 \over 2}^\circ \)
13
With the help of a ruler and a compass, it is not possible to construct an angle of :
  • A
    \({40^0}\)
    Correct
  • B
    \({67.5^0}\)
  • C
    \({37.5^0}\)
  • D
    \({22.5^0}\)
14
To construct the perpendicular bisector of a line segment AB, We draw two equal arcs taking as centres A and B with radius :
Question 14 figure 1
  • A
    \(less\;than{{AB} \over 2}\)
  • B
    none of these
  • C
    \(equal\;to\;{{AB} \over 2}\)
  • D
    \(more\;than\;{{AB} \over 2}\)
    Correct
15
Two or more circles are congruent if they have same
  • A
    diameter
  • B
    radii and diameter
    Correct
  • C
    none
  • D
    radil