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6th Grade > Mathematics

PRACTICAL GEOMETRY MCQs

Total Questions : 94 | Page 7 of 10 pages
Question 61.


If number of ends in a line is 'X' and the number of ends in a line segment is 'Y', what is the value of 'YX'?


__
 Discuss Question
Answer: Option A. ->
:

Number of ends in a line  = 0 = X


Number of ends in a line segment = 2 = Y


YX=20=2


Question 62.


If you have two 30- 60 - 90 set squares, which of the following shapes is impossible to get using them?


  1.     Parallelogram
  2.     Pentagon
  3.     Rhombus
  4.     Rectangle
 Discuss Question
Answer: Option C. -> Rhombus
:
C

You know that a rectangle is a parallelogram. In the figures below, we can see that we can make rectangles and also a parallelograms. Also we can make a pentagon. But making a rhombus is impossible by using 2 set squares having 30- 60 - 90 angles.


  If You Have Two 30∘- 60∘ - 90∘ Set Squares, Which Of ...


Question 63.


Draw a circle. Now draw any of its two diameters and mark them AC and BD. Join the points A, B, C and D. If ABCD is a square, the diameters must be ___ to each other.


 Discuss Question
Answer: Option C. -> Rhombus
:

If you draw any of the diameters and join the ends you will always get a rectangle as shown below in figure 1.


Figure 1
Draw A Circle. Now Draw Any Of Its Two Diameters And Mark Th...
Figure 2
Draw A Circle. Now Draw Any Of Its Two Diameters And Mark Th...


Question 64.


It is possible to construct an angle equal to 7.5 using compass and ruler.


  1.     True
  2.     False
  3.     Set Square (30-60-90)
  4.     Set Square (45-45-90)
 Discuss Question
Answer: Option A. -> True
:
A

It is possible to construct an angle equal to 7.5 using compass and ruler.
Steps to draw are:


·Draw an angle of 60 using compass and ruler.


·Bisect it to get 30.


·Bisect it to get 15.


·Bisect it to get 7.5.
So we can construct an angle of 7.5.


Question 65.


Name four tools used for drawing shapes. [1 MARK]


 Discuss Question
Answer: Option A. -> True
:

The four tools used for drawing shapes are:
i) Rulers
ii) Compasses
iii) Set squares 
iv) Protractor


Question 66.


Construct a circle of radius 10 cm. What is the diameter of the circle? [2 MARKS]


 Discuss Question
Answer: Option A. -> True
:

Construction: 1 Mark
Diameter: 1 Mark
The circle can be drawn using a ruler and compass.


Construct A Circle Of Radius 10 Cm. What Is The Diameter Of...
The diameter of the circle
 =2× radius =2×10=20cm


Question 67.


Construct 60 , 45 and 30 with ruler and compass. [3 MARKS]


 Discuss Question
Answer: Option A. -> True
:

Construction of Angles: 1 Mark each
                     60 angle


Construct 60∘ , 45∘ And 30∘ with Ruler And Compass....
               30 angle
Construct 60∘ , 45∘ And 30∘ with Ruler And Compass....


Question 68.


AB is a line segment. Construct PQ if PQ is twice the length of AB. [3 MARKS]


 Discuss Question
Answer: Option A. -> True
:

Constructing PQ: 1 Mark
Steps: 2 Mark
Steps for constructing PQ based on the length of AB: 
(i) Let AB be the line segment.
AB Is A Line Segment. Construct PQ If PQ Is Twice The Length...
(ii) Adjust the compass up to the length of AB.
AB Is A Line Segment. Construct PQ If PQ Is Twice The Length...
(iii) Draw any line l and mark a point P on it.
AB Is A Line Segment. Construct PQ If PQ Is Twice The Length...
(iv) Put the pointer on P and without changing the setting of the compass, draw an arc to cut the line segment at point X.AB Is A Line Segment. Construct PQ If PQ Is Twice The Length...
(v) Now, put the pointer on X and again draw an arc with the same radius as before, to cut the line l at the point Q.
AB Is A Line Segment. Construct PQ If PQ Is Twice The Length...
PQ is the required line segment.


Question 69.


Construct a line segment AB of length 4.2 cm using a compass and a ruler. How many lines can be drawn from the point A? [2 MARKS]


 Discuss Question
Answer: Option A. -> True
:

Construction: 1 Mark
Solution: 1 Mark
The figure shows a line segment AB.
Construct A Line Segment AB Of Length 4.2 Cm Using A Compass...
From a single point, an infinite number of lines can be drawn.
From point A, infinite lines can be drawn. 


Question 70.


Construct a line segment AB of length 5.6 cm using a compass and ruler. Write the steps. [3 MARKS]


 Discuss Question
Answer: Option A. -> True
:

Each steps: 1 Mark
Step 1: Draw a line l. Mark a point A on the line.


 Construct A Line Segment AB of Length 5.6 Cm Using A Compas...
Step 2: Place the compass pointer on the zero mark of the ruler. Open it to place the pencil point up to the 5.6 cm mark.
Step 3: Taking caution that the opening of the compass has not changed the measured length, place the pointer on A and swing an arc to cut l at B.
Step 4: AB is a line segment of the required length.

Construct A Line Segment AB of Length 5.6 Cm Using A Compas...


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