Tag: construction of line segment and circle of given radius

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Multiple choice 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

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

  1. Ruler and Protractor

  2. Ruler and Compass

  3. Compass and Divider

  4. Protractor and Divider
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

So option $B$ is correct.

Multiple choice 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

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

  1. $2.4\ cm$
  2. $4.2\ cm$
  3. $1.8\ cm$
  4. $2.8\ cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let length of each part $=x$

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

Multiple choice 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

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. $1$
  2. $2$
  3. $3$
  4. $4$
Reveal answer Fill a bubble to check yourself
B Correct answer
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.

Multiple choice 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

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. $1$
  2. $2$
  3. $3$
  4. $4$
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

Multiple choice 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

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. $1$
  2. $2$
  3. $3$
  4. $4$
Reveal answer Fill a bubble to check yourself
C Correct answer
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.

Multiple choice 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

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

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
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.

Multiple choice 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

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. $1$
  2. $2$
  3. $3$
  4. $4$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Correct sequence is :

Step 1. Draw a line segment $CD$ of any length.
Step 2 .Fix the compass's end on $C$ and a pencil on $D$. This gives length $CD.$
Step 3. Draw a line $l$. Mark a point $A$ on line $l$.Without changing compass's setting place the compass at $A$
Step 4. Make an arc on the line $l$ whcih cuts $l$ at $B$  Now $AB$ is a copy of $CD$
So the last step is $2$
Option $B$ is correct.

Multiple choice 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

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

  1. $3.153\ cm$
  2. $4.3\ cm$
  3. $5.2\ cm$
  4. $6.1\ cm$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Line segment of length $3.153\ \ cm$ can not be drawn using a compass as the least count of the compass is $1\ \ mm$ or $.1\ \ cm$

So option $A$ is corrrect.

Multiple choice 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

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

  1. $3.1\ cm$
  2. $4.1\ cm$
  3. $3.0\ cm$
  4. $4.0\ cm$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$1.$ Draw a line segment of length $12.4\ \ cm$ using a ruler.

Now we have to divide the length into four parts . So we have to divide the length by $4$
Lenght of each part $\dfrac{12.4}{4}=3.1\ \ cm$
$2.$ Now open the compass to $3.1\ \ cm$ and cut an arc on the line by placing the needle on one end on the line and mark the point as $B$.
$3.$ Repeat the step $2.$ by placing the compass on point $B$
Length of each part $=3.1\ \ cm$
So option $C$ is correct.

Multiple choice 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

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.

  1. $3,4,1,2$
  2. $1,2,3,4$
  3. $4,3,2,1$
  4. $3,1,2,4$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Correct sequence is :

Step 1. Draw a line segment $CD$ of any length.
Step 2 .Fix the compass's end on $C$ and a pencil on $D$. This gives length $CD.$
Step 3. Draw a line $l$. Mark a point $A$ on line $l$.Without changing compass's setting place the compass at $A$
Step 4. Make an arc on the line $l$ whcih cuts $l$ at $B$  Now $AB$ is a copy of $CD$
So the sequence is $3,4,1,2$