CBSE Questions for Class 9 Maths Constructions Quiz 1 - MCQExams.com

For constructing a triangle when the base, one base angle and the difference between lengths of other two sides are given, the base length is equals to:
  • The difference between lengths of other two sides
  • The given base length
  • The largest side
  • None of these
The first step in the process is:
  • $$1$$
  • $$2$$
  • $$3$$
  • $$4$$
You are asked to "construct" an angle whose measure is $$30^\circ$$. Which of the following methods would be considered as an acceptable construction? 
  • Using a compass and straightedge, construct two parallel lines and label one of the angles $$30^\circ$$.
  • Using a compass and straightedge, construct an equilateral triangle and then bisect one of its angles.
  • Using a compass and straightedge, copy an angle that appears to be close to $$30^\circ$$ from a diagram in your textbook.
  • None of these
Construct a $$\triangle ABC$$ in which $$AB= 5.4\ cm, \angle CAB= 45^{\circ}$$ and $$AC + BC= 9\ cm.$$Then, $$m\angle ACB$$ is:
  • $$55^o$$
  • $$75^o$$
  • $$85^o$$
  • None of these
Which of the following angles is possible to construct using a compass?
  • $$60^\circ$$
  • $$32^\circ$$
  • $$51.25^\circ$$
  • $$49^\circ$$
Which diagram below shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
For constructing a triangle whose perimeter and both base angles are given, the base length is equal to:
  • the length of the perimeter
  • the length of the largest side
  • the difference between the largest and the shortest side
  • None of these
The last step in the process is:
  • $$1$$
  • $$2$$
  • $$4$$
  • $$5$$
The steps of construction of an $$\angle AOB=45^{o}$$ is given in jumbled order below:
1. Place compass on intersection point.
Place ruler on start point and where arc intersects perpendicular line.
Adjust compass width to reach start point. 
Construct a perpendicular line.
Draw $$45$$ degree line.
Draw an arc that intersects perpendicular line. 
The third step in process is: 
  • $$2$$
  • $$3$$
  • $$4$$
  • $$5$$
Each angle of equilateral triangle is $$ 60^\circ$$. The angles are bisected then each angle will be of:
  • $$60^o$$
  • $$30^o$$
  • $$90^o$$
  • $$120^o$$
An architect needs a staircase attached to a wall.The angle between stair and ground needs to be 30.
His plan will look like:
The steps for constructing an $$\angle ABC$$ of measure $$120^\circ$$ are given below in jumbled order:
From the point $$R$$, mark a point $$P$$ on the same arc with the same radius.
Place the pointed end of the compass on $$B$$ and draw a semi-circular arc with arbitrary radius and name its intersection with ray $$BC$$ as $$Q$$.
Draw a ray $$BC$$.
From point $$Q$$, mark a point $$R$$ on the arc with the same radius.
Join $$B-P$$ and extend it to obtain ray $$BA$$

$$The \  fifth \  step \  in \  the \  process \  is:$$
  • $$2$$
  • $$3$$
  • $$4$$
  • $$5$$
Bisecting means dividing into two ______ parts.
  • Unequal
  • Equal
  • Triangular
  • None of these
The fourth step in the process is:
  • $$1$$
  • $$3$$
  • $$4$$
  • $$5$$
A square is given and an angle of $$30^{o}$$ is drawn from one of its vertex . The figure will look like what?
637699_4d2b9b7ab3af4f7585d1c36315f797b3.png
The steps of construction of an $$\angle AOB=45^{o}$$ is given in jumbled order below:
1. Place compass on intersection point.
Place ruler on start point and where arc intersects perpendicular line.
Adjust compass width to reach start point. 
Construct a perpendicular line.
Draw $$45$$ degree line.
Draw an arc that intersects perpendicular line. 
Which step comes first?
  • $$1$$
  • $$3$$
  • $$4$$
  • $$5$$
The second step in the process is:
  • $$1$$
  • $$2$$
  • $$4$$
  • $$5$$
Which of the following steps is INCORRECT while constructing an angle of $$60^o$$?
Step-1: Draw a line EF and mark a point O on it.
Step-2: Place the pointer of the compass at O and draw an arc of convenient radius which cuts the line EF at point P.
Step-3 : With the pointer at A (as center) now draw an arc that passes through O.
Step-4: Let the two arcs intersect at Q. Join OQ. We get $$\angle$$ QOP whose measure is $$60^o$$
  • Only Step-1
  • Both Step-2 and Step-3
  • Only Step-3
  • Both Step-3 and Step-4
Construct a triangle ABC, given: BC = 7 cm, AB -AC =1 cm and $$\angle ABC =45^{\circ}$$. Measure the lengths of AB and AC.
  • AB = 8.6 cm: AC = 7.6 cm
  • AB = 2.7 cm: AC = 1.7  cm
  • AB = 6.1 cm: AC = 5.1 cm
  • Data insufficient
With the help of a ruler and a compass it is not possible to construct an angle of.
  • $$37.5^{\circ}$$
  • $$40^{\circ}$$
  • $$22.5^{\circ}$$
  • $$67.5^{\circ}$$
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