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
It is not possible to construct a triangle whose sides are
  • A
    3 cm, 4 cm and 5 cm
  • B
    15 cm, 8 cm and 17 cm
  • C
    3 cm, 3 cm and 6 cm
    Correct
  • D
    5 cm, 12 cm and 13 cm
2
It is not possible to construct a triangle ABC with \(BC = 5\;cm,\angle B = {75^0}\;and\;AB + AC\) equal to
  • A
    9 cm
  • B
    7.5 cm
  • C
    8 cm
  • D
    4.5 cm
    Correct
3
With the help of a ruler and a compass, it is possible to construct an angle of
  • A
    \({37.5^0}\)
    Correct
  • B
    \({47.5^0}\)
  • C
    \({35^0}\)
  • D
    \({40^0}\)
4
Using a ruler and a compass, it is not possible to construct an angle of
  • A
    \({\left( {55{1 \over 2}} \right)^0}\)
  • B
    \({\left( {32{1 \over 2}} \right)^0}\)
    Correct
  • C
    \({\left( {67{1 \over 2}} \right)^0}\)
  • D
    \({\left( {22{1 \over 2}} \right)^0}\)
5
The construction of a triangle ABC with AB = 4 cm and \(\angle A = {60^0}\) 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
6
The construction of a triangle ABC with AB = 6 cm and \(\angle A = {60^0}\) is not possible when sum of BC and CA is equal to
  • A
    5.5 cm
    Correct
  • B
    7.5 cm
  • C
    7 cm
  • D
    8 cm
7
It is possible to construct a triangle ABC whose sides are
  • A
    3 cm, 4 cm and 5 cm.
    Correct
  • B
    4 cm, 3 cm and 8 cm
  • C
    3 cm, 2 cm and 6 cm
  • D
    2 cm, 3 cm and 5 cm
8
The sides BC, CA and AB of \(\triangle ABC\) are produced in order to form exterior angles \(\angle ACD,\;\angle BAE\;and\;\angle CBF.\) \(\angle ACD + \angle BAE\; + \;\angle CBF\;is\)
Question 8 figure 1
  • A
    \({540^0}\)
  • B
    \({270^0}\)
    Correct
  • C
    \({180^0}\)
  • D
    \({360^0}\)
9
In the adjoining figure, if \(\angle 2 = {55^0}\) and \(\angle 5 = {55^0}\), the lines m and n are
Question 9 figure 1
  • A
    not parallel
    Correct
  • B
    cannot say
  • C
    parallel
  • D
    none of these
10
In the adjoining figure, the values of \(\angle A + \angle B + \angle C + \angle D + \angle E + \angle F\;is\)
Question 10 figure 1
  • A
    \({360^0}\)
    Correct
  • B
    \({180^0}\)
  • C
    \({540^0}\)
  • D
    \({270^0}\)
11
The angles ABC and BDC are right angles. If AD = 8 cm and DC = 32 cm the length of BD is
Question 11 figure 1
  • A
    25 cm
  • B
    16 cm
    Correct
  • C
    15 cm
  • D
    12 cm
12
If D is a mid point of the hypotenuse AC of a right triangle ABC, BD is equal to
  • A
    2 AC
  • B
    AC
  • C
    \({3 \over 2}AC\)
  • D
    \({1 \over 2}AC\)
    Correct
13
In \(\triangle \) ABC if \(\angle B = \angle C = {30^0},\) which of the following is the longest side?
  • A
    AB
  • B
    none
  • C
    BC
    Correct
  • D
    AC
14
In a \(\triangle \) ABC if \(\angle A = {50^0}and\angle B = {70^0}\) then the shortest and the largest sides of the triangles are
  • A
    AB,BC
  • B
    BC,AC
    Correct
  • C
    none
  • D
    AB,AC
15
What is the supplementary angle of \({108^0}\) ?
  • A
    \({72.5^0}\)
  • B
    \({71^0}\)
  • C
    \({70.5^0}\)
  • D
    \({72^0}\)
    Correct