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6th Grade > Mathematics

PRACTICAL GEOMETRY MCQs

Total Questions : 94 | Page 9 of 10 pages
Question 81.


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 82.


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 83.


If XYZ = 90, XYZ is also known as a/an ___ angle.


 Discuss Question
Answer: Option A. -> CD is parallel to PQ
:

XYZ is also known as a right angle if it is equal to 90.


Question 84.


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 85.


Draw a circle with center O and radius 6cm. Draw two non-intersecting circles with radii 3cm each and centers as P and Q respectively passing through O. Now, join P and Q. Draw the diameter of the bigger circle RS such that it is perpendicular to PQ. Join PQRS.
PQRS is a:


  1.     Rhombus
  2.     Rectangle
  3.     Square
  4.     Trapezium 
 Discuss Question
Answer: Option A. -> Rhombus
:
A

Draw the circle with center O using compass and ruler. Now, since smaller circles are non intersecting and passing through the point O, there is only one possibility.


Draw A Circle With Center O And Radius 6cm. Draw Two Non-int...


After joining PQ, drawing diameter RS perpendicular to PQ and joining PQRS, you will get:


 


 Draw A Circle With Center O And Radius 6cm. Draw Two Non-int...


PQRS is a rhombus.


Question 86.


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 87.


Which of the following is the correct representation of line segment AB?


  1.     AB
  2.     ¯¯¯¯¯¯¯¯AB
  3.     AB
  4.     AB
 Discuss Question
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 88.


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 89.


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 also make 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 90.


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.


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