MCQ Questions for Class 6 Maths Practical Geometry Quiz 1

In order to duplicate a given angle, which of the following instruments can be used?

0%
Compass
0%
Set Square
0%
Protractor
0%
Divider

Explanation

A Compass can be used to make the duplicate of any angle. A protractor can also be used to duplicate angles but only of integral values.

So option

$A$ is correct.

Which of the following angles is not possible to duplicate using a compass?

0%
0%
0%
0%
None of these

Explanation

Copy of any angle can be constructed using a compass.

So option

$D$ is correct.

A perpendicular is drawn using

0%
scale
0%
scale protractor
0%
set square
0%
divider

State whether the following statement is true or false.

If a line segment

$AB$ is bisected at point

$P$ and through point

$P$ another line segment

$PQ$ which is perpendicular to

$AB,$ is drawn then

$QA=QB.$

0%
True
0%
False

Explanation

Join QA and QB.

$\triangle PQA$ and

$\triangle PQB$ ,

$PQ = PQ$ (Common)

$\angle PQA = \angle PQB$ (Each

$90^{\circ}$ , PQ is perpendicular to AB)

$PA = PB$ (P bisects AB)

Thus,

$\triangle PAQ \cong \triangle PBQ$
Hence,

$QA = QB$ (By cpct)

202320_175272_ans_331f77b892264f9da0905635a3b42bea.jfif

Which construction is shown in the accompanying diagram?

0%
The bisector of $\angle ACD$
0%
The midpoint of $\overline{AF}$
0%
The perpendicular bisector of $\overline{AB}$
0%
A perpendicular line to $\overline{AB}$ from point $D$

You are asked to "construct" an angle whose measure is

$30^\circ$ . Which of the following methods would be considered as an acceptable construction?

0%
Using a compass and straightedge, construct two parallel lines and label one of the angles $30^\circ$ .
0%
Using a compass and straightedge, construct an equilateral triangle and then bisect one of its angles.
0%
Using a compass and straightedge, copy an angle that appears to be close to $30^\circ$ from a diagram in your textbook.
0%
None of these

Explanation

We only need to construct an angle of

$30^{o}$ .

We have not been provided with any side or point.

So, its best to construct an equilateral triangle by drawing

$60^{\circ}$ angles and then extending and joining them with the straighedges

Since every angle is of measure

$60^{o}$ , so bisecting one of the angle will form an angle of measure

$30^{o}$ .

Hence, the acceptable construction is given by option B.

The instrument to measure an angle is a

0%
Ruler
0%
Protractor
0%
Divider
0%
Compasses

When a perpendicular is drawn to a given line, in what ratio is the line divided into?

0%
$1:1$
0%
$1:2$
0%
$2:1$
0%
Cannot be said

State the following statement is True or False

When constructing the bisector of a line segment, you are also constructing the perpendicular bisector of the segment.

0%
True
0%
False

Instrument used to measure or construct angles is-

0%
Scale
0%
Compass
0%
Set square
0%
None of these

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

0%
$3.1\ cm$
0%
$4.234\ cm$
0%
$7.2\ cm$
0%
$1\ cm$

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.

How many arcs need to be constructed in order to draw an angle equal to a given angle?

0%
$1$
0%
$2$
0%
$3$
0%
$4$

Construct line

$\ l\ \ \parallel$ line

$m$ , line

$l\perp$ line

$n$ .

Which one of following is true?

0%
$n\parallel \ m$
0%
$n \perp \ m$
0%
$l,m,n$ forms a triangle
0%
None

Explanation

$\Rightarrow$ Line

$l$

$\parallel$ line

$m$ [Given]

$\Rightarrow$ Line

$l$

$\perp$ line

$n$ [Given]

$\Rightarrow$ So,

$\angle O=90^\circ$

$\Rightarrow$ Since it's given that line

$l$ parallel to line

$m$ then,

$\Rightarrow$

$\angle P=90^\circ$

$\Rightarrow$ Hence, line

$n$

$\perp$ line

$m$

Use a protractor to measure the angle

$x$ as shown in the picture

$x$ can be:

0%
$< 30^{\circ}$
0%
$=90^{\circ}$
0%
$>90^{\circ}$
0%
$30^{\circ} < x< 90^{\circ}$

Explanation

We get

$x=45^{\circ}$ by measuring the angle using a protractor.

$\therefore 30^{\circ}<x<90^{\circ}$

So, option

$D$ is correct.

Using Protractor, we constructed an angle of

$45˚$ . The constructed figure looks like:

Explanation

If we construct an angle of

$45^{\circ}$ using a protractor the figure looks like the figure in option

$A$

So option

$A$ is correct.

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

0%
$2.1\ cm$
0%
$4.2\ cm$
0%
$5.43\ cm$
0%
$3.3\ cm$

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

$.001$

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 last?

0%
$1$
0%
$2$
0%
$3$
0%
$4$

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

$B (1)$

$(1)$ is the last step.

Option

$A$ is correct.

Which of the following instruments can be used to draw any angle of a given measure?

0%
Ruler
0%
Set Square
0%
Protractor
0%
Divider

Explanation

A. The ruler is used for measuring the length of anything.

B. Set square is used to draw particular angles such as 90, 60, 30 degrees.

C. Protractor is used to measure an angle or can be used to draw an angle of a given measure.

D. The divider is used to transfer the measured distances.

So option

$C$ is correct.

Which of the following angles can be constructed using a protractor?

0%
$45.6^\circ$
0%
$29.8^\circ$
0%
$67.3^\circ$
0%
$37^\circ$

Explanation

Least count of protractor is

$1^{\circ}$ that is minimum

$1^{\circ}$ angle can be constructed using a protractor.

We can simply say angles constructed using protractor are of integral values.

So only

$37^{\circ}$ can be constructed using protractor.

Which of the following angles cannot be constructed using a protractor?

0%
$45^\circ$
0%
$34.6^\circ$
0%
$60^\circ$
0%
$27^\circ$

Explanation

Least count of protractor is

$1^{\circ}$ that is minimum

$1^{\circ}$ angle can be constructed using a protractor.

We can simply say angles constructed using protractor are of integral values.

$34.6^{\circ}$ can not be constructed using protractor.

Which of the following angles is possible to construct using a compass?

0%
$60^\circ$
0%
$32^\circ$
0%
$51.25^\circ$
0%
$49^\circ$

Explanation

An angle of

$60^{\circ}$ can be constructed using a compass.

Step 1 : Make a compelete arc on a straight line.

Step 2 : Make an arc on the previous arc with the same opening of compass from the start point of previous arc.

Step 3: Draw a line through the centre of arc and point of intersection.

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

0%
$1.234\ cm$
0%
$2.15\ cm$
0%
$2.5\ cm$
0%
$3.04\ cm$

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.

The first step in the process will be:

0%
$1$
0%
$2$
0%
$3$
0%
$4$

Explanation

Correct sequence of steps is :

Step 1: Draw segment

$AB$ and take a point

$P$ on it.

Step 2: From point

$P$ , mark two equidistant points from

$P$ on line

$AB$ , and name them

$C$ and

$D$

Step 3 : From points

$C$ and

$D$ mark two intersecting arcs on either side of the line

$AB$ .Name the intersection point as

$E$

Step 4: Join

$E$ and

$P$ .

$EP$ is the required perpendicular.

So the first step is

$4$

So option

$D$ is correct.

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

0%
Ruler and Protractor
0%
Ruler and Compass
0%
Compass and Divider
0%
Protractor and Divider

Explanation

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

So option

$B$ is correct.

The last step in the process is:

0%
$1$
0%
$2$
0%
$4$
0%
$5$

Explanation

Correct sequence is

Step 1. Draw a ray

$QR$

Step 2. Place the pointed end of the compass on

$Q$ and draw a semi circular arc with arbitrary radius.

Step 3.Mark a point

$B$ on the same arc with the same radius from point

$A$ . Similarly , mark a point

$C$ from

$B.$

Step 4. Draw two intersecting arcs from

$B$ and

$C$ and mark the intersection as point

$D$ .

Step 5. Join

$Q-D$ and extend it to obtain

$QP.$

So the last step is

$2$

Option

$B$ is correct.

The first step in the process is:

0%
$1$
0%
$2$
0%
$3$
0%
$4$

Explanation

Correct sequence is :

Step 1. Draw a ray $BC$ .

Step 2. With the pointed end of the compass at B and any arbitrary radius, draw an arc and mark the intersection point with ray $BC$ as $D.$

Step 3. With the same radius and the pointed end of the compass at $D$ , mark a point $E$ on the same arc.

Step 4 Join $B−E$ and extend it as a ray $BA.$

So the first step is $2$

Option $B$ is correct.

Each angle of equilateral triangle is

$60^\circ$ . The angles are bisected then each angle will be of:

0%
$60^o$
0%
$30^o$
0%
$90^o$
0%
$120^o$

Explanation

Angle bisector divide the angle in two equal parts.

$\therefore$ bisected angle

$=\dfrac{60^{\circ}}{2}=30^{\circ}$

So option

$B$ is correct.

Which of the following lines from point

$P$ is a perpendicular to line

$AB$ ?

0%
$PQ$
0%
$PR$
0%
$PS$
0%
$PT$

Explanation

Line

$PR$ makes a right angle with line

$AB$

$\therefore PR$ is perpendicular to

$AB$

Option

$B$ is correct.

An architect needs a staircase attached to a wall.The angle between stair and ground needs to be 30.
His plan will look like:

Explanation

Only option

$(B)$ shape have an angle equivalent to

$30^o$ .

So architect plan will look like shape

$(B)$ .

1365474_637709_ans_d6273a870f694c7dbe4fa30e8f77b6d3.png

The steps for constructing an

$\angle ABC$ of measure

$120^\circ$ are given below in jumbled order:
From the point

$R$ , mark a point

$P$ on the same arc with the same radius.
Place the pointed end of the compass on

$B$ and draw a semi-circular arc with arbitrary radius and name its intersection with ray

$BC$ as

$Q$ .
Draw a ray

$BC$ .
From point

$Q$ , mark a point

$R$ on the arc with the same radius.
Join

$B-P$ and extend it to obtain ray

$BA$

$The \ fifth \ step \ in \ the \ process \ is:$

0%
$2$
0%
$3$
0%
$4$
0%
$5$

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

$Q$ .

Step 3. From

$Q$ mark a point

$R$ on the arc with the same radius.

Step 4. From point

$R$ , mark a point

$P$ on the same arc with same radius.

Step 5. Join

$B-P$ and extend it to obtain ray

$BA$

So the fifth step is

$5$

Option

$D$ is correct.

CBSE Questions for Class 6 Maths Practical Geometry Quiz 1 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

CBSE Questions for Class 6 Maths Practical Geometry Quiz 1 - MCQExams.com

0:0:2

Practice Class 6 Maths Quiz Questions and Answers

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