Tag: constructing line segment

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Questions Related to constructing line segment

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 $3,4,1,2$

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

  1. $2.0\ cm$
  2. $2.1\ cm$
  3. $2.2\ cm$
  4. $2.3\ cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
steps of construction :
1 . draw a line of length 4.6 cm using ruler .
2. Place the compass at one end of line segment.
3 . Adjust the compass to slightly longer than half the line segment length.
4. Draw arcs above and below the line.
 5 .Keeping the same compass width, draw arcs from other end of line.
6 . Place ruler where the arcs cross, and draw the line segment.
7. drawn line segment cuts the initial line segment  into two equal parts .
8. measure the bisected length using ruler thats comes out be $= \dfrac{1}{2} \times 4.6 = 2.3 cm$
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

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

  1. $11.7\ cm$
  2. $5.2\ cm$
  3. $3.9\ cm$
  4. $2.6\ cm$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Draw a line segment $AB$ of $7.8\ \ cm$ using ruler 

.$\dfrac{2}{3}AB=$ $=\dfrac { 2 }{ 3 } \times 7.8=5.2 \ cm$
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 $AB=6.5\ cm$. What will be the $\dfrac{1}{5}$th of $AB$ ?

  1. $4.2\ cm$
  2. $3.5\ cm$
  3. $2.4\ cm$
  4. $1.3\ cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Draw a line segment $AB$ of length $6.5\ \ cm$

$\dfrac { 1 }{ 5 } AB=\dfrac { 1 }{ 5 } \times 6.5=1.3\ \ cm$
So 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

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

  1. $6.8\ cm$
  2. $5.2\ cm$
  3. $3.4\ cm$
  4. $2.2\ cm$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Draw a line segment $XY$ of length $13.6\ \ cm$

$\dfrac { 1 }{ 4 } XY=\dfrac { 1 }{ 4 } \times 13.6=3.4\ \ cm$
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

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

  1. $3.2\ cm$
  2. $4.6\ cm$
  3. $2.4\ cm$
  4. $2.5\ cm$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Draw a line segment $PQ$ is length $9.6\ \ cm$ using a ruler.

$\dfrac { 1 }{ 3 } PQ=\dfrac { 1 }{ 3 } \times 9.6=3.2\ \ cm$
So option $A$ is correct.