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CBSE Questions for Class 6 Maths Practical Geometry Quiz 2 - MCQExams.com
CBSE
Class 6 Maths
Practical Geometry
Quiz 2
The fourth step in the process is:
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$$1$$
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$$3$$
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$$4$$
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$$5$$
Explanation
Correct sequence is :
Step 1. Draw a ray $$BC$$.
Step 2.Place the pointed end of the compass on $$B$$ and draw a semi-circular arc with arbitrary radius and name its intersection with the ray $$BC$$ as $$D$$.
Step 3. From $$D$$ mark a point $$E$$ on the arc with the same radius.
Step 4. From point $$E$$, mark a point $$F$$ on the same arc with same radius.
Step 5. Join $$B-F$$ and extend it to obtain ray $$BA$$
So the fourth step is $$1$$
Option $$A$$ is correct.
A square is given and an angle of $$30^{o}$$ is drawn from one of its vertex . The figure will look like what?
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Explanation
Place a protractor and draw an angle of $$30^{\circ}$$ on one of its vertex.
If angle is drawn on the topmost right vertex then the figure looks like figure in option $$D$$
So option $$D$$ is correct.
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?
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$$1$$
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$$3$$
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$$4$$
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$$5$$
Explanation
Correct sequence is :
1. Construct a perpendicular line .
2. Draw an arc that intersect the perpendicular line.
3. Adjust the compass width to reach the start point .
4.Place compass on intersection point.
5. Place ruler on start point and where the arc intersects the perpendicular line.
6. Draw $$45$$ degree line.
So the first step is $$4$$
Option $$C$$ is correct.
The second step in the process is:
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$$1$$
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$$2$$
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$$4$$
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$$5$$
Explanation
Correct sequence is :
Step 1. Draw a ray $$BC$$.
Step 2.Place the pointed end of the compass on $$B$$ and draw a semi-circular arc with arbitrary radius and name its intersection with the ray $$BC$$ as $$D$$.
Step 3. From $$D$$ mark a point $$E$$ on the arc with the same radius.
Step 4. From point $$E$$, mark a point $$F$$ on the same arc with same radius.
Step 5. Join $$B-F$$ and extend it to obtain ray $$BA$$
So the second step is $$2$$
Option $$B$$ is correct.
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:
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$$2$$
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$$3$$
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$$4$$
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$$5$$
The instrument in the geometry box having the shape of a triangle is called a
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Protractor
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Compasses
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Divider
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set-square
Explanation
Option D is the right answer.
The instrument in the geometry box having the shape of a triangle is called a Set-square.
The steps for constructing a line segment of given length are given in a jumbled order below:
Draw an arc on the line by keeping the pointed end of the compass on the point $$A$$. Mark the arc point as $$B$$.
Draw a line.
Extend the compass by keeping one end on the $$0\ cm$$ mark and other at the given length on the ruler.
Take a point $$A$$ anywhere on the line.
Which of the above steps comes first?
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$$1$$
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$$2$$
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$$3$$
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$$4$$
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.
Construct a line segment of length 8.4 cm. Divide this line into 3 equal parts and find the length of each part.
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$$2.4\ cm$$
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$$4.2\ cm$$
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$$1.8\ cm$$
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$$2.8\ cm$$
The angle made between the lines by drawing perpendicular bisector of a line segment is :
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$$90^{o}$$
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$$45^{o}$$
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$$30^{o}$$
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$$15^{o}$$
Explanation
Perpendicular bisector bisects a line segment into $$4$$ right angles, measures $$90^\circ$$ each.
Hence angle made between lines is $$90^\circ$$.
State whether true or false.
The angle of measure $$124^{o}$$ can be constructed using a protractor.
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True
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False
Explanation
A protractor has the least count of $$1^o$$. So, we can easily draw $$124^o$$ with the help of a protractor. So, the above statement is true.
State whether true or false.
The angle of measure $$94.7^{o}$$ can be constructed using a protractor.
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True
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False
Explanation
Only integral degrees from $$0^{\circ} - 180^{\circ}$$ can be measured using a protector.
Since the given measure is $$94.7^o$$ and it contains decimal part of the angle, it cannot be constructed using a protactor.
Construct an angle of measure $$70^{o}$$, then half of that angle will be :
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$$30^{o}$$
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$$35^{o}$$
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$$40^{o}$$
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$$45^{o}$$
Explanation
we know that
$$\dfrac{1}{2} \times 70^{\circ} = 35^{\circ}$$
Steps of construction :
1. Draw the arm $$PQ $$.
2.
Place the point of the compass
at $$P$$
and draw an arc
that passes through$$Q$$.
3.
Place the point of the compass at $$Q$$
and draw an arc that cuts the arc drawn in Step 2 at $$R$$.
4.
With the point of the compass still at $$Q$$ ,
draw an arc near $$T$$
as shown.
5.
With the point of the compass at
$$R$$ ,
draw an arc to cut the arc drawn in Step 4 at $$T $$.
6. Join $$T $$ to $$P$$ .
The angle $$\angle QPT = 35^{\circ}$$
The steps for constructing a line segment of given length are given in a jumbled order below:
Draw an arc on the line by keeping the pointed end of the compass on the point $$A$$. Mark the arc point as $$B$$.
Draw a line.
Extend the compass by keeping one end on the $$0\ cm$$ mark and other at the given length on the ruler.
Take a point $$A$$ anywhere on the line.
Which of the above steps comes second?
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$$1$$
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$$2$$
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$$3$$
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$$4$$
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.
Construct a line $$AB=6.5\ cm$$. What will be the $$\dfrac{1}{5}$$th of $$AB$$ ?
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$$4.2\ cm$$
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$$3.5\ cm$$
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$$2.4\ cm$$
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$$1.3\ cm$$
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.
Construct a line segment of length $$4.6\ \text{cm}$$. Divide this line into $$2$$ equal parts and find the length of each part.
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$$2.0\ \text{cm}$$
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$$2.1\ \text{cm}$$
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$$2.2\ \text{cm}$$
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$$2.3\ \text{cm}$$
Explanation
steps of construction :
1 . draw a line of length 4.6 cm using a ruler.
2. Place the compass at one end of the 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 another end of the 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 that comes out be $$= \dfrac{1}{2} \times 4.6 = 2.3 \text{ cm}$$
Draw a line $$AB=7.8\ cm$$, what will be the $$\dfrac{2}{3}$$rd of $$AB$$.
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$$11.7\ cm$$
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$$5.2\ cm$$
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$$3.9\ cm$$
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$$2.6\ cm$$
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.
Draw a line $$PQ=9.6\ cm$$. What will be the $$\dfrac{1}{3}$$rd of $$PQ$$ ?
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$$3.2\ cm$$
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$$4.6\ cm$$
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$$2.4\ cm$$
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$$2.5\ cm$$
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.
Draw a line $$XY=13.6\ cm$$. what will be the $$\dfrac{1}{4}$$th of $$XY$$ ?
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$$6.8\ cm$$
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$$5.2\ cm$$
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$$3.4\ cm$$
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$$2.2\ cm$$
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.
The steps for constructing a line segment of given length are given in a jumbled order below:
Draw an arc on the line by keeping the pointed end of the compass on the point $$A$$. Mark the arc point as $$B$$.
Draw a line.
Extend the compass by keeping one end on the $$0\ cm$$ mark and other at the given length on the ruler.
Take a point $$A$$ anywhere on the line.
Which of the above steps comes third?
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$$1$$
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$$2$$
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$$3$$
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$$4$$
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.
Construct a line segment of length $$12.4\ cm$$. Divide this line into $$4$$ equal parts and find the length of each part.
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$$3.1\ cm$$
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$$4.1\ cm$$
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$$3.0\ cm$$
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$$4.0\ cm$$
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 $$A$$ is correct.
Which of the following line segments cannot be drawn with the help of a ruler and compass ?
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$$3.153\ cm$$
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$$4.3\ cm$$
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$$5.2\ cm$$
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$$6.1\ cm$$
Explanation
Line segment of length $$3.153\ \ cm$$ can not be drawn using a compass as the least count on a ruler is $$1\ \ mm$$ or $$.1\ \ cm$$
So option $$A$$ is corrrect.
Angle of measure $$98.3^{o}$$ can be constructed using a protractor ?
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Yes
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No
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Can't say
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Depends on protractor
Explanation
No, it can not be constructed using a protractor as only angles with integer values can be constructed using a protractor.
So option $$B$$ is correct.
When a perpendicular is drawn to a given line and it also bisects it, then the perpendicular divides the line into
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$$1:1$$
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$$1:2$$
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$$2:3$$
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None of the above
Explanation
Bisects means division into two equal parts .
When a perpendicular is drawn to a given line and it also bisects it, then the perpendicular divides the line into
Thus the correct answer is
$$1: 1$$
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 $$60^o$$
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Only Step-1
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Both Step-2 and Step-3
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Only Step-3
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Both Step-3 and Step-4
Explanation
Step-3 is incorrect it should be written as: with the pointer at P (as center) now draw an arc of same radius that passes through O.
The steps to construct a line perpendicular to $$XY$$ and passing through $$P$$ is given in random order :
$$1.$$ Move the set square along XY so the other short side touches Point P.
$$2.$$ Use the edge of the set square to draw a line through Point P.
$$3.$$ Draw a line $$XY$$ and mark point $$P$$.
$$4.$$ Place one short side of the set square on the line XY.
Which of the following will be the second step :
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$$1$$
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$$2$$
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$$3$$
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$$4$$
Explanation
$$1.$$ Draw a line $$XY$$ and mark a point $$P$$ on it.
$$2.$$ Place one short side of the set square on the line $$XY$$.
$$3.$$ Move the set square along $$XY$$ so the other short side touches point $$P$$.
$$4.$$ Use the edge of the set square to draw a line through point $$P$$ .
So $$4.$$ is the second step.
Option $$D$$ is correct.
The steps to construct a line perpendicular to $$XY$$ and passing through $$P$$ is given in random order :
$$1.$$ Move the set square along XY so the other short side touches Point P.
$$2.$$ Use the edge of the set square to draw a line through Point P.
$$3.$$ Draw a line $$XY$$ and mark point $$P$$.
$$4.$$ Place one short side of the set square on the line XY.
Which of the following will be the first step :
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$$1$$
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$$2$$
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$$3$$
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$$4$$
Explanation
The steps to construct a line perpendicular to a given line, passing through a point are:
$$1.$$ Draw a line $$XY$$ and mark a point $$P$$ on it.
$$2.$$ Place one short side of the set square on the line $$XY$$.
$$3.$$ Move the set square along $$XY$$ so the other short side touches
the point $$P.$$
$$4.$$ Use the edge of the set square to draw a line through point $$P$$ .
So $$3.$$ is the first step.
Option $$C$$ is correct.
The steps to construct a line perpendicular to $$XY$$ and passing through $$P$$ is given in random order :
$$1.$$ Move the set square along XY so the other short side touches Point P.
$$2.$$ Use the edge of the set square to draw a line through Point P.
$$3.$$ Draw a line $$XY$$ and mark point $$P$$.
$$4.$$ Place one short side of the set square on the line XY.
Which of the following will be the fourth step :
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$$1$$
0%
$$2$$
0%
$$3$$
0%
$$4$$
Explanation
$$1.$$ Draw a line $$XY$$ and mark a point $$P$$ on it.
$$2.$$ Place one short side of the set square on the line $$XY$$.
$$3.$$ Move the set square along $$XY$$ so the other short side touches point $$P$$.
$$4.$$ Use the edge of the set square to draw a line through point $$P$$ .
So $$2.$$ is the fourth step.
Option $$B$$ is correct.
To draw the graph of a line . the least number of points required is ______ .
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One
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Two
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Three
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Four
Explanation
To draw the graph of a line, the least number of Points required are Two$$(2)$$
Two points can be joined together and extended from both sides to represent a unique line.
Whereas, From One single point, Infinite lines can pass.
$$\therefore$$ Atleast two points are required to draw the graph of a line.
The steps to construct a line perpendicular to $$XY$$ and passing through $$P$$ is given in random order :
$$1.$$ Move the set square along XY so the other short side touches Point P.
$$2.$$ Use the edge of the set square to draw a line through Point P.
$$3.$$ Draw a line $$XY$$ and mark point $$P$$.
$$4.$$ Place one short side of the set square on the line XY.
Which of the following will be the third step :
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$$1$$
0%
$$2$$
0%
$$3$$
0%
$$4$$
Explanation
$$1.$$ Draw a line $$XY$$ and mark a point $$P$$ on it.
$$2.$$ Place one short side of the set square on the line $$XY$$.
$$3.$$ Move the set square along $$XY$$ so the other short side touches point $$P$$.
$$4.$$ Use the edge of the set square to draw a line through point $$P$$ .
So $$1.$$ is the third step.
Option $$A$$ is correct.
The instrument to measure an angle is a
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Ruler
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Protractor
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Driver
0%
Compasses
Explanation
Option B is the correct answer.
The $$\mathrm{protractor}$$ is used to measure an angle.
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