Tag: constructing line segment

Questions Related to constructing line segment

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

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. $2.1\ cm$

  2. $4.2\ cm$

  3. $5.43\ cm$

  4. $3.3\ cm$

Show answer
Correct Option: A,B,D
Explanation:

Least count of normal scale is $.1\ \ cm$ that is minimum length that can be measured using a normal scale is $.1\ \ cm$.

So the lengths that can be measured are
$2.1\ \ cm,4.2\ \ cm$ and $3.3\ \ cm$
To measure $5.43$ we need a scale whose least count is $.001$

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

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. $1.234\ cm$

  2. $2.15\ cm$

  3. $2.5\ cm$

  4. $3.04\ cm$

Show answer
Correct Option: C
Explanation:

Least count of normal scale is $.1\ \ cm$ that is minimum length that can be measured using a normal scale is $.1\ \ cm$

So only $2.5 \ \ cm$ can be measured using a ruler and compass.
Hence option $C$ is correct.

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

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. $3.1\ cm$

  2. $4.234\ cm$

  3. $7.2\ cm$

  4. $1\ cm $

Show answer
Correct Option: A,C,D
Explanation:

Least count of normal scale is $.1\ \ cm$ that is minimum length that can be measured using a normal scale is $.1\ \ cm$

So the lengths that can be measures are
$3.1\ \ cm$$,7.2\ \ cm$ and $1cm\ \ $
Options $A,C$ and $D$ are correct.

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?

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. $1$

  2. $2$

  3. $3$

  4. $4$

Show answer
Correct Option: A
Explanation:

For constructing a line segment of given length steps are following:

Step 1 : Draw a line(2).
Step 2 :Take a point $A$ anywhere on the line(4).
Step 3 : Extend the compass by keeping one end on the $0 \ \ cm$ mark and other at given length on ruler(3).
Step 4 :  Draw an arc on the line by keeping the pointed end of the compass on the point $A$ .Mark the arc point as $B.$(1)
So $1.$ is the last step.
Option $A$ is correct.


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

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. Ruler and Protractor

  2. Ruler and Compass

  3. Compass and Divider

  4. Protractor and Divider

Show answer
Correct Option: B
Explanation:

A line can be constructed using a Ruler and a Compass.

So option $B$ is correct.

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

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. $2.4\ cm$

  2. $4.2\ cm$

  3. $1.8\ cm$

  4. $2.8\ cm$

Show answer
Correct Option: D
Explanation:

Let length of each part $=x$

Lenght of three parts $=3x$
Given $3x=8.4$
$x=\dfrac{8.4}{3}=2.8$ cm

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?

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. $1$

  2. $2$

  3. $3$

  4. $4$

Show answer
Correct Option: B
Explanation:

Correct sequence is :

Step 1. Draw a line.
Step 2. Take a point $A$ anywhere on the line.
Step 3. Extend the compass by keeping one end on the $0 \ \ cm$ and other at the given length on the ruler.
Step 4. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc as point $B.$
So the first step is $2$
Option $B$ is correct.

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?

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. $1$

  2. $2$

  3. $3$

  4. $4$

Show answer
Correct Option: D
Explanation:

Correct sequence is :

Step 1. Draw a line.
Step 2. Take a point $A$ anywhere on the line.
Step 3. Extend the compass by keeping one end on the $0 \ \ cm$ and other at the given length on the ruler.
Step 4. Draw an arc on the line by keeping the pointed end of the compass on the point $A$. Mark the arc as point $B.$
So the second step is $4$
Option $D$ is correct.

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?

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. $1$

  2. $2$

  3. $3$

  4. $4$

Show answer
Correct Option: C
Explanation:

Step 1 $:$ Draw a line .

Step 2 $:$ Take point $A$ anywhere on the line .
Step 3 $:$ Extend the compass by keeping one end on the $0\ \ cm$ mark at the given length of the rule.
Step 4 $:$ Draw an arc on the line by keeping the pointed end of the compass on the point $A$ .Mark the arc point as $B$
So $3$ is the third step .Option $C$ is correct.

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

maths line segment construction of line segment and circle of given radius construction related to lines constructing line segment circumscribing and inscribing a circle on a regular hexagon

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Yes, we can construct a copy of line segment of length $2.345$ using scale/compass. By using scale/compass we measure the length and by stretching the compass & cut the same length of line.