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
Two or more circles are concentric if they have same
  • A
    diameter
  • B
    centre
    Correct
  • C
    radil
  • D
    none
2
If two circles touches internally then distance between their centres is equal to
  • A
    none
  • B
    difference of radil
    Correct
  • C
    not possible to determine
  • D
    sum of radil
3
Radius of a circle is ________ to tangent
  • A
    parallel
  • B
    none
  • C
    No relation
  • D
    perpendicular
    Correct
4
Two radii of same circle are always :
  • A
    parallel and may inchired at any angle
    Correct
  • B
    parallel
  • C
    perpendicular
  • D
    may inchired at any angle
5
A quadrilateral can be drawn.If the measures of its
  • A
    four sides are given
  • B
    three sides and a diagonal are given
  • C
    four sides and one angle are given
    Correct
  • D
    four angles and one side are given
6
The point in the plane of a triangle which is at equal perpendicular distances from the three sides of the triangle is its
  • A
    orthocenter
  • B
    centroid
  • C
    circumcentre
  • D
    incentre
    Correct
7
The orthocentere of an obtuse angled triangle lies
  • A
    on the greatest side of the triangle
  • B
    on the smallest side of the triangle
  • C
    outside the triangle
    Correct
  • D
    inside the triangle
8
With the help of a ruler and compass. It is possible to construct an angle of
  • A
    \({32.5^0}\)
  • B
    \({42.5^0}\)
  • C
    \({35^0}\)
  • D
    \({22.5^0}\)
    Correct
9
With the help of a ruler and compass. It is not possible to construct an angle of
  • A
    \({30^0}\)
  • B
    \({45^0}\)
  • C
    \(7{{1 \over 2}^\circ }\)
  • D
    \({70^0}\)
    Correct
10
The construction of a triangle ABC in which AB = 2.5 cm, \(\angle A = {45^0}\) is not possible when difference of BC and AC is equal to
  • A
    3.0 cm
    Correct
  • B
    1.5 cm
  • C
    2 cm
  • D
    1 cm
11
The construction of triangle ABC, given that BC = 5 cm, \(\angle B = {45^0}\) is not possible when difference of AB and AC is equal to
  • A
    4 cm
  • B
    3 cm
  • C
    2 cm
  • D
    5.1 cm
    Correct
12
The construction of a triangle ABC, given that BC = 4 cm, \(\angle C = {60^0}\) is possible when difference of AB and AC is equal to
  • A
    3.5 cm.
    Correct
  • B
    4.2 cm
  • C
    4.5 cm
  • D
    5 cm
13
To construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm. We draw line segment AB of 12 cm. Draw a ray AX making \({90^0}\) with AB. The next step is:
  • A
    Cut a line segment BD of 18 cm
  • B
    Cut a line segment AD of 18 cm on AB
  • C
    Cut a line segment AD of 18 cm on AX
    Correct
  • D
    Cut a line segment BD of 18 cm on AB
14
By following these steps of construction, (i) Draw a line segment PQ = 11 cm (ii) At P construct an angle of \({60^0}\) and at Q, an angle of \({45^0}\), (iii) Bisect these angles. Let the bisectors of these angles intersect at a point A. (iv) Draw perpendicular bisectors DE of AP to intersect PQ at B and FG of AQ to intersect PQ at C. (v). Join AB and AC. Triangle ABC has been obtained. In this \(\)ABC.
  • A
    AB + BC = 11cm
  • B
    BC + CA = 11cm
  • C
    AB + BC + CA = 11cm
    Correct
  • D
    AB + BC + CA > 11cm
15
In the construction of the bisector of a given angle, as shown in the figure below \(\triangle BEF \cong \triangle BDF\;by\;which\;congruence\;criterion?\)
Question 15 figure 1
  • A
    SSS
    Correct
  • B
    RHS
  • C
    SAS
  • D
    AAS