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6th Grade > Mathematics

PRACTICAL GEOMETRY MCQs

Total Questions : 94 | Page 1 of 10 pages
Question 1. With the point O as the centre, draw two circles of radius 2.5 cm and 4 cm with compass and ruler. What are these circles called? [2 MARKS]
 Discuss Question

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Construction: 1 Mark
Answer: 1 Mark
Steps of construction:
1. Stretch the compass to the length of 2.5 cm measuring witha ruler. Then draw a circlewith the centre as O.
2. Again stretch the compass to the length of 4 cm measuring witha ruler. Then draw a circlewith the same centreO as shown below.
With The Point O As The Centre, Draw Two Circles Of Radius 2...
These are known as concentric circles as they have the same centre but different radius.
Question 2. Which of the following is the correct representation of line segment AB?
  1.    AB
  2.    ¯¯¯¯¯¯¯¯AB
  3.    ←→AB
  4.    →AB
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Answer: Option B. -> ¯¯¯¯¯¯¯¯AB
:
B
Line segments are represented with bar on top of their name, which contains two letters which are the two ends.
Question 3. Which one of the following angles can not be constructed using compass and ruler?
  1.    30∘
  2.    15∘
  3.    25∘
  4.    45∘
 Discuss Question
Answer: Option C. -> 25∘
:
C
We can draw 60 and bisect it to get 30.
Similarly, we can bisect 30 and get 15.
Also, we can draw 90 and bisect it to get 45.
But, 50 cannot be drawn using compass and ruler to get its bisected angle of 25.
Question 4. Draw a circle and mark a point X on the exterior of the circle and point Y in the interior of the circle. [1 MARK]
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Draw A Circle And Mark A Point X On The Exterior Of The Circ...
Question 5. 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.
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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 6. 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'?
__
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Number of ends in a line = 0 = X
Number of ends in a line segment = 2 = Y
YX=20=2
Question 7. Using which of the following, it is not possible to construct a 60 angle?
  1.    Protractor, Ruler
  2.    Compass, Ruler
  3.    Set Square (30∘-60∘-90∘)
  4.    Set Square (45∘-45∘-90∘)
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Answer: Option D. -> Set Square (45∘-45∘-90∘)
:
D
We can't draw a 60 angle using a set square that has 45-45-90 angles. Using a protractor and compass, and by using a Set Square (30-60-90), we can draw 60 angle.
Question 8. Which of the following is an example of perpendicular lines?
1. Corners of your circular room floor.
2. One of the angles in both the set squares of geometry box.
3. Angle included between the hour hand and minute hand when it is 12:15 in your wall clock.
  1.    1
  2.    2
  3.    2 and 3
  4.    1 and 3
 Discuss Question
Answer: Option B. -> 2
:
B
There are no corners in a circular floor!
The 2 set squares that you have are both right angled triangles. So, one of the angles is 90.
When it is 12:15, the angle included between the hour hand and the minute hand is not 90, it is slightly lesser than that because the hour hand moves in clockwise direction as well along withthe minute hand.
Question 9. Have you seen long highway roads that never meet and are the same distance apart everywhere? What would such roads be called, in mathematical terms?
  1.    Parallel
  2.    Intersecting
  3.    Oblique
  4.    Perpendicular
 Discuss Question
Answer: Option A. -> Parallel
:
A
Parallel linesare two lines that are always the same distance apart and never touch. In order for two lines to be parallel, they must be drawn in the sameplane, a perfectly flat surface like a wall or sheet of paper, and they must always be at the same distance.
Question 10. Choose the option that represent parallel lines?
  1.    A book
  2.    A cricket ball
  3.    A railway track
  4.    An ice-cream cone
 Discuss Question
Answer: Option C. -> A railway track
:
C
Sometimes it is helpful to think of parallel lines as a set of railroad tracks. The two sides of the track are created for the wheels on each side of the train to travel along. Because the wheels of the train are always the same distance apart - they do not get closer as they run - the tracks have to be the same distance apart everywhere.
In reality, railroad tracks arealmostparallel.

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