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6th Grade > Mathematics

PRACTICAL GEOMETRY MCQs

Total Questions : 94 | Page 2 of 10 pages
Question 11. At what time shown in the options, the hour hand and the minute hand of your clock will be perpendicular to each other?
  1.    09:00
  2.    06:15
  3.    03:30
  4.    11:00
 Discuss Question
Answer: Option A. -> 09:00
:
A
At 09:00, hour hand and minute hand are at right angles to each other. At all the other instances, the minute hand has moved, so the hour hand would have moved too. Hence, the angle formed will not be 90 in those cases.
Question 12. Draw a line AB. At A, draw an arc of length 3cm using compass such that it intersects AB at O. With the same spread of compass, put the compass pointer at O and make an arc that intersects the previous arc at P. Join A and P. Using the protractor, measure PAB. What is the value of PAB.
  1.    15∘
  2.    30∘
  3.    60∘
  4.    75∘
 Discuss Question
Answer: Option C. -> 60∘
:
C
If you follow all the steps, you would get this:
Draw A Line AB. At A, Draw An Arc Of Length 3cm Using Compas...
If you measure PAB, the value which you would get is 60.
Question 13. At what time shown in the options, the hour hand and the minute hand of your clock will be perpendicular to each other?
  1.    09:00
  2.    06:15
  3.    03:30
  4.    11:00
 Discuss Question
Answer: Option A. -> 09:00
:
A
At 09:00, hour hand and minute hand are at right angles to each other. At all the other instances, the minute hand has moved, so the hour hand would have moved too. Hence, the angle formed will not be 90 in those cases.
Question 14. If ABC = 90, ABC is also known as a/an ___ angle.
 Discuss Question

:
ABC is also known as a right angle if it is equal to 90.
Question 15. Draw a line segment AB of length 6.4cm. Mark a point C on the line segment such that AC=3cm. It is impossible to copy line segment CB without using a ruler or a compass or a divider. 
  1.    True
  2.    False
  3.    60∘
  4.    75∘
 Discuss Question
Answer: Option B. -> False
:
B
It is possible to copy line segment CB without using a ruler or a compass or a divider by tracing it on another paper. It may not be that accurate, but it is possible.
Question 16. If you have two (45-45-90) set squares. Which of the following shapes is impossible to produce using them?
  1.    Square
  2.    Parallelogram
  3.    Pentagon
  4.    Trapezium
 Discuss Question
Answer: Option D. -> Trapezium
:
D
We know that all squares are rhombuses and parallelograms. We can alsomake a pentagon as shown in the figure. But we can never get a trapezium using 2 set squares with angles (45-45-90).
If You Have Two (45∘-45∘-90∘) Set Squares. Which Of Th...
Question 17. It is not possible to draw the perpendicular bisector of a line segment using a protractor ruler with no markings on it.
  1.    True
  2.    False
  3.    60∘
  4.    75∘
 Discuss Question
Answer: Option B. -> False
:
B
It Is Not Possible To Draw The Perpendicular Bisector Of A L...
Take a line segment say AB. Make angles 60 on both the ends such that the lines along those angles intersect at C. Taking AB as the base side, draw 30 angle and a line along it such that it intersects AB at D. Point D bisects AB and ADB is 90. So, AD is the perpendicular bisector of AB.
Question 18. Name four tools used for drawing shapes. [1 MARK]
 Discuss Question

:
The four tools used for drawing shapes are:
i)Rulers
ii)Compasses
iii)Set squares
iv)Protractor
Question 19. AB is a line segment. Construct PQ if PQ is twice the length of AB. [3 MARKS]
 Discuss Question

:
Constructing PQ: 1 Mark
Steps: 2Mark
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 land 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 withoutchanging 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 lat the point Q.
AB Is A Line Segment. Construct PQ If PQ Is Twice The Length...
PQ is the required line segment.
Question 20. Construct 60 , 45 and 30 with ruler and compass. [3 MARKS]
 Discuss Question

:
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....

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