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6th Grade > Mathematics

PRACTICAL GEOMETRY MCQs

Total Questions : 94 | Page 8 of 10 pages
Question 71.


Draw a line 8.4 cm and divide it into four parts using a compass. [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Steps: 2 Marks
Construction: 2 Marks
i) Draw a line segment XY of length 8.4 cm.
ii) Draw a circle, while taking point X as centre and radius more than half of XY.
iii) With same radius and taking the centre as Y, again draw arcs to cut the circle at A and B. Join AB which 
intersects XY at M.
iv) Taking X and Y as centres. Draw two circles more than half of XM.
v) With same radius and taking M as the centre, draw arcs to intersect these circles at P, Q, R and S.
vi) Join PQ and RS. These are intersecting XY at T and U.
vii) Now XT = TM = MU = UY. These are 4 equal parts of XY.



Draw A Line 8.4 Cm And Divide It Into Four Parts Using A Com...
 


Question 72.


AB is a line of length 6 cm. Construct a line perpendicular to AB. [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Each step: 1 Mark
Step 1: Draw a line of length 6 cm. Mark a point P on it.


AB Is A Line Of Length 6 Cm. Construct A Line Perpendicular ...


Step 2: With P as the centre and a convenient radius, construct an arc intersecting the line l at two points A and B.


AB Is A Line Of Length 6 Cm. Construct A Line Perpendicular ...


Step 3: With A and B as centres and a radius 3 cm, construct two arcs, which cut each other at Q.


Step 4: Join PQ. Then PQ is perpendicular to l


AB Is A Line Of Length 6 Cm. Construct A Line Perpendicular ...


Question 73.


Draw an angle of 132 and construct its bisector. [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Each step: 1 Mark
The steps given below should be followed to construct an angle and its bisector:
i) Draw a line l and mark a point 'O' on it.
ii) Mark a point A 132 to line l with the help of protractor. Join OA.
iii) Draw an arc of convenient radius, while taking point O as the centre. Let it intersect both rays of angle 132 at point A and B.
iv) Taking A and B as centres, draw arcs each of radius more than half of AB so that they intersect each other at C. Join OC.
OC is the required bisector of angle of 132
Draw An Angle Of 132∘ And Construct Its Bisector. [4 MARK...


Question 74.


Draw AB of length 6.8 cm and find its axis of symmetry. [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Each step: 1 Mark
(i) Draw a line segment AB of length 6.8 cm.
Draw AB Of Length 6.8 Cm And Find Its Axis Of Symmetry. [4 ...
(ii) Taking A as the centre, draw a circle by using a compass. The radius of the circle should be more than half of AB. 
Draw AB Of Length 6.8 Cm And Find Its Axis Of Symmetry. [4 ...
(iii) With the same radius as before, draw two arcs using B as the centre such that it cuts the previous circle at C and D.
Draw AB Of Length 6.8 Cm And Find Its Axis Of Symmetry. [4 ...
(iv) Join CD. CD is the axis of symmetry.
Draw AB Of Length 6.8 Cm And Find Its Axis Of Symmetry. [4 ...


Question 75.


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, 18045=135


Question 76.


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 are almost parallel.


Question 77.


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 lines are 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 same plane, a perfectly flat surface like a wall or sheet of paper, and they must always be at the same distance.


Question 78.


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 to 120.


Question 79.


Which is the easiest and most accurate method to copy a given line segment PQ?


  1.     Tracing it using a transparent paper
  2.     Using a ruler
  3.     Using a compass and ruler
  4.     Using a set square of (306090)
 Discuss Question
Answer: Option C. -> Using a compass and ruler
:
C

Tracing the line may not give accurate result. Similarly, measuring using a ruler may give wrong results depending upon the angle of viewing. Using a compass and a ruler would be the easiest and most accurate method to copy a given line segment PQ.


Question 80.


Which of the following is an example of perpendicular lines?


1. Corners of your circular room floor


2. One of the angles in both your set squares


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 too as the minute hand moves.


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