Construction of Line Segments - Class VIII

Question 1 Multiple Choice (Multiple Answers)

With the help of a normal ruler and a compass only, which of the following line segment is possible to construct?

$2.1\ cm$
$4.2\ cm$
$5.43\ cm$
$3.3\ cm$

Question 2 Multiple Choice (Single Answer)

Which of the following line segments can be drawn with the help of a ruler and compass ?

$1.234\ cm$
$2.15\ cm$
$2.5\ cm$
$3.04\ cm$

Question 3 Multiple Choice (Multiple Answers)

With the help of a normal ruler, which of the following line segment is possible to construct?

$3.1\ cm$
$4.234\ cm$
$7.2\ cm$
$1\ cm $

Question 4 Multiple Choice (Single Answer)

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.

Which of the above steps comes last?

$1$
$2$
$3$
$4$

Question 5 Multiple Choice (Single Answer)

To construct a line segment of a given length, which of the following pairs of instruments are needed?

Ruler and Protractor
Ruler and Compass
Compass and Divider
Protractor and Divider

Question 6 Multiple Choice (Single Answer)

Construct a line segment of length $8.4\ cm$. Divide this line into $3$ equal parts and find the length of each part.

$2.4\ cm$
$4.2\ cm$
$1.8\ cm$
$2.8\ cm$

Question 7 Multiple Choice (Single Answer)

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.

Which of the above steps comes first?

$1$
$2$
$3$
$4$

Question 8 Multiple Choice (Single Answer)

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.

Which of the above steps comes second?

$1$
$2$
$3$
$4$

Question 9 Multiple Choice (Single Answer)

The steps for constructing a line segment of given length are given in a jumbled order below:
1. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc point as $B$.
2. Draw a line.
3. Extend the compass by keeping one end on the $0\ cm$ mark and other at the given length on the ruler.
4. Take a point $A$ anywhere on the line.

Which of the above steps comes third?

$1$
$2$
$3$
$4$

Question 10 Multiple Choice (Single Answer)

State whether true/false
We can construct a copy of a line segment of length $2.345$ using scale/compass.

True
False

Question 11 Multiple Choice (Single Answer)

Steps of constructing a line segment equal to the length of given segment is written in jumbled form below:
1. Draw a line $l$. Mark a point $A$ on line $l$. Without changing compass's setting, place the compass at $A$.
2. Make an arc on the line $l$ which cuts $l$ at $B$. Now, $AB$ is a copy of $CD$.
3. Draw a line segment $CD$ of any length.
4. Fix the compass's end on $C$ and pencil on $D$. This gives the length of $CD$.

Which of the above comes last.

$1$
$2$
$3$
$4$

Question 12 Multiple Choice (Single Answer)

Which of the following line segments cannot be drawn with the help of a ruler and compass ?

$3.153\ cm$
$4.3\ cm$
$5.2\ cm$
$6.1\ cm$

Question 13 Multiple Choice (Single Answer)

Construct a line segment of length $12.4\ cm$. Divide this line into $4$ equal parts and find the length of each part.

$3.1\ cm$
$4.1\ cm$
$3.0\ cm$
$4.0\ cm$

Question 14 Multiple Choice (Single Answer)

Steps of constructing a line segment equal to the length of given segment is written in jumbled form below:
1. Draw a line $l$. Mark a point $A$ on line $l$. Without changing compass's setting, place the compass at $A$.
2. Make an arc on the line $l$ which cuts $l$ at $B$. Now, $AB$ is a copy of $CD$.
3. Draw a line segment $CD$ of any length.
4. Fix the compass's end on $C$ and pencil on $D$. This gives the length of $CD$.
Arrange them in correct order.

$3,4,1,2$
$1,2,3,4$
$4,3,2,1$
$3,1,2,4$

Question 15 Multiple Choice (Single Answer)

Construct a line segment of length $4.6\ cm$. Divide this line into $2$ equal parts and find the length of each part.

$2.0\ cm$
$2.1\ cm$
$2.2\ cm$
$2.3\ cm$

Question 16 Multiple Choice (Single Answer)

Draw a line $AB=7.8\ cm$, what will be the $\dfrac{2}{3}$rd of $AB$.

$11.7\ cm$
$5.2\ cm$
$3.9\ cm$
$2.6\ cm$

Question 17 Multiple Choice (Single Answer)

Construct a line $AB=6.5\ cm$. What will be the $\dfrac{1}{5}$th of $AB$ ?

$4.2\ cm$
$3.5\ cm$
$2.4\ cm$
$1.3\ cm$

Question 18 Multiple Choice (Single Answer)

Draw a line $XY=13.6\ cm$. what will be the $\dfrac{1}{4}$th of $XY$ ?

$6.8\ cm$
$5.2\ cm$
$3.4\ cm$
$2.2\ cm$

Question 19 Multiple Choice (Single Answer)

Draw a line $PQ=9.6\ cm$. What will be the $\dfrac{1}{3}$rd of $PQ$ ?

$3.2\ cm$
$4.6\ cm$
$2.4\ cm$
$2.5\ cm$

Question 20 Multiple Choice (Single Answer)

Steps of constructing a line segment equal to the length of given segment is written in jumbled form below:
1. Draw a line $l$. Mark a point $A$ on line $l$. Without changing compass's setting, place the compass at $A$.
2. Make an arc on the line $l$ which cuts $l$ at $B$. Now, $AB$ is a copy of $CD$.
3. Draw a line segment $CD$ of any length.
4. Fix the compass's end on $C$ and pencil on $D$. This gives the length of $CD$.

Which of the above comes first.

$1$
$2$
$3$
$4$

Construction of Line Segments - Class VIII

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