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6th Grade > Mathematics

PRACTICAL GEOMETRY MCQs

Total Questions : 94 | Page 5 of 10 pages
Question 41. 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.    45∘
  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 42. 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. With the same spread again, put the compass pointer at P and draw an arc that intersects the first arc at Q. Join A and Q. Using the protractor, measure ∠QAB. What is the measure of ∠QAB ?
  1.    45∘
  2.    60∘
  3.    75∘
  4.    120∘
 Discuss Question
Answer: Option D. -> 120∘
:
D
Following all the steps mentioned, we obtain the following
Draw A Line AB. At A, Draw An Arc Of Length 3cm Using Compas...
On measuring∠QAB, we would get the measure of the angle equal to120∘.
Question 43. If AB is perpendicular to CD and PQ is perpendicular to AB, which of the following is/are true?
  1.    CD is parallel to PQ
  2.    CD is perpendicular to PQ
  3.    Both A & B
  4.    None of the above 
 Discuss Question
Answer: Option A. -> CD is parallel to PQ
:
A
If you draw everything according to the given question, you would get:
If AB Is Perpendicular To CD And PQ Is Perpendicular To AB, ...
We can see that PQ is parallel to CD or vice-versa.
Question 44. 45∘ angle is drawn. The value of its supplementary angle is _____.
  1.    45∘
  2.    205∘
  3.    135∘
  4.    90∘
 Discuss Question
Answer: Option C. -> 135∘
:
C
Two angles are called supplementary angles when they add up to 180∘.
Therefore, the supplementary angle of 45∘ is, 180∘−45∘=135∘
Question 45.


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]


 Discuss Question
Answer: Option C. -> 135∘
:

Draw A Circle And Mark A Point X On The Exterior Of The Circ...
 


Question 46.


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
Answer: Option C. -> 135∘
:

Construction: 1 Mark
Answer: 1 Mark
Steps of construction:
1. Stretch the compass to the length of 2.5 cm measuring with a ruler. Then draw a circle with the centre as O.
2. Again stretch the compass to the length of 4 cm measuring with a ruler. Then draw a circle with the same centre O 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 47.


Define line segment and construct a line segment AB of length 3.9 cm using compass and ruler. [2 MARKS]


 Discuss Question
Answer: Option C. -> 135∘
:

Definition: 1 Mark
Construction: 1 Mark
A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
Define Line Segment And Construct A Line Segment AB Of Lengt...


Question 48.


Draw an angle of 90∘ and construct its bisector. [3 MARKS]


 Discuss Question
Answer: Option C. -> 135∘
:

Construction of angle: 1 Mark
Construction of bisector: 1 Mark
Steps: 1 Mark
Steps of construction:
i) Make a right-angled triangle using a compass.
ii) With R and V as centre make arcs at any point in the mid of the angle.
iii) That point W will be the required point.
iv) Join P and W. PW is the required bisector.


Draw An Angle Of 90∘ and Construct Its Bisector. [3 MARKS...


Question 49.


Draw a circle with centre O using compass and ruler. Make smaller circles such that they are:
i) non-intersecting
ii) passing through the point O
iii) touching the circumference of the bigger circle. [3 MARKS]


 Discuss Question
Answer: Option C. -> 135∘
:

Construction: 2 Marks
Steps: 1 Mark
Steps of construction:
i) Draw a circle of any radius.
ii) Draw a smaller circle of radius half of the radius of the larger circle and at the midpoint of the radius in one direction.
iii) In the same way, draw the smaller circle in the opposite direction.


Draw A Circle With Centre O Using Compass And Ruler. Make Sm...


Question 50.


Draw an angle 135∘ and divide it into four parts. [4 MARKS]


 Discuss Question
Answer: Option C. -> 135∘
:

Construction of angle: 1 Mark
Division into 4 parts: 2 Marks
Steps: 1 Mark
i) Make an angle 135∘ using a protractor.
ii) With the centre as O. Draw a small arc AB.
iii) With A and B as centre draw arcs of radius more than half of AB at C.
iv) In the same way, draw arcs taking the centre as B and D at F and with centres at A and D at E.
v) Join OE, OC, OF.


 Draw An Angle 135∘ and Divide It Into four Parts. [4 M...


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