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
In the construction of the perpendicular bisector of a given line segment, as \(shown\;in\;the\;figure\;below\;\triangle PMA \cong \triangle PMB\;by\;which\;congruence\;criterion?\)
Question 1 figure 1
  • A
    RHS
  • B
    SAS
    Correct
  • C
    AAS
  • D
    SSS
2
On a ray AB with initial point A, Taking A as centre and some radius, draw an arc of a circle, which intersects AB, say at a point D. Taking D as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point E. Draw the ray AC passing through E. Then, the measure of \(\angle CAB\) is
  • A
    \({30^0}\)
  • B
    \({15^0}\)
  • C
    \({60^0}\)
    Correct
  • D
    \({45^0}\)
3
If a \({60^0}\) angle is bisected twice what will be measure of each angle that is constructed ?
  • A
    \({30^0}\)
  • B
    \({15^0}\)
    Correct
  • C
    \({5^0}\)
  • D
    \({45^0}\)
4
In the following below PR is the perpendicular bisector of a line segment AB = 16 cm, then which of the following is true ?
Question 4 figure 1
  • A
    OP > OR
  • B
    PB = PR
  • C
    PA = PR
  • D
    PA = PB
    Correct
5
An external bisector of an angle measuring \({70^0}\) will divide the angle into two angles measuring
  • A
    \({70^0}\)
  • B
    \({35^0}\)
  • C
    \({110^0}\)
  • D
    \({55^0}\)
    Correct
6
In \(\triangle \) ABC, which of the following information is needed to construct it if it is known that measure of \(\angle B = 60\) and BC = 6 cm :
  • A
    CA + AB
  • B
    All of the above
    Correct
  • C
    AB + BC
  • D
    BC + CA
7
Which of these triangles are possible to construct by knowing only its altitude?
  • A
    Right angled triangle
  • B
    Isosceles triangle
  • C
    Equilateral triangle
    Correct
  • D
    Any triangle
8
To construct a \(\triangle \) ABC in which BC = 10 cm and \(\angle B = 60\) degrees and AB + AC = 14 cm, then the length of BD used for construction :
  • A
    7 cm
  • B
    20 cm
  • C
    10 cm
  • D
    14 cm
    Correct
9
With the help of a ruler and a compass it is not possible to construct an angle of :
  • A
    \({22.5^0}\)
  • B
    \({37.5^0}\)
  • C
    \({50^0}\)
    Correct
  • D
    \({67.5^0}\)
10
The construction of a triangle ABC, given that BC = 3 cm, \(\angle C = {30^0}\) is possible when sum of AB and AC is equal to :
  • A
    2.8 cm
  • B
    3.2 cm
    Correct
  • C
    3 cm
  • D
    2 cm
11
In the following figure, AD = AC + BC. Find the relation between \(\angle 1\;and\;\angle 2:\)
Question 11 figure 1
  • A
    \(\angle 1 > \angle 2\)
  • B
    \(\angle 1 < \angle 2\)
  • C
    \(\angle 1 + \angle 2 = {90^0}\)
  • D
    \(\angle 1 = \angle 2\)
    Correct
12
In figure, LM is an arc of a circle having radius = \({\rm{r}}\). If AL = AM = AN = LM = \({\rm{r}}\) And \(LN = {1 \over 2}LM.\) Then \(\angle CAB = \)
Question 12 figure 1
  • A
    \({15^0}\)
  • B
    \({30^0}\)
    Correct
  • C
    \({45^0}\)
  • D
    \({60^0}\)
13
In figure , \(\angle BAC = {90^0}.\)\(\angle BAD = \angle CAD\;and\;\angle DAE = \angle CAE.\;Here,\;\angle BAE = \)
Question 13 figure 1
  • A
    \(67{1 \over 2}^\circ \)
    Correct
  • B
    \({65^0}\)
  • C
    none of these.
  • D
    \({75^0}\)
14
With the help of a ruler and a compass it is not possible to construct an angle of
  • A
    \({37.5^0}\)
  • B
    \({80^0}\)
    Correct
  • C
    \({67.5^0}\)
  • D
    \({22.5^0}\)
15
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
    2.8 cm
    Correct
  • B
    3.1 cm
  • C
    3 cm
  • D
    3.2 cm