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6th Grade > Mathematics

SYMMETRY MCQs

Total Questions : 88 | Page 6 of 9 pages
Question 51.


How many lines of symmetry are possible? [2 MARKS]
a. For a circle
b. For a scalene triangle


 Discuss Question
Answer: Option A. ->
:
Each option: 1 Mark
a. A circle can have infinite lines of symmetry.
b. Scalene triangles have no lines of symmetry.
Question 52.


In how many ways can the given figure be divided into two equal parts? how? [3 MARKS]


In How Many Ways Can The Given figure Be divided Into Two ...


 Discuss Question
Answer: Option A. ->
:

Reason: 1 Mark
Diagram: 1 Mark
Answer: 1 Mark
This figure can be divided into two equal parts in 4 ways. It has 4 lines of symmetry.


In How Many Ways Can The Given figure Be divided Into Two ...


Question 53.


A milkman wants to park his bike at some point Q and deliver the milk to two different houses A and B. Where should he park the bike so that his walking distance AQ + BQ will be minimum? [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Visualisation of question: 1 Mark
Steps: 1 Mark
Concept: 1 Mark
Answer/Diagram: 1 Mark
Here, we can use reflection symmetry in order to find the minimum distance. Let's take the mirror image of house A as A'. So, for minimum distance Q must lie in centre e.g. Q must be the line of symmetry for a mirror image of house A and house B and height of A' and A are equal. So, the milkman should park his bike at the centre point of the distance between houses A and B.


A Milkman Wants To Park His Bike At Some Point Q And Deliver...


Question 54.


(a) A piece of paper is folded as shown below. How many symmetrical figures are possible after unfolding figure no. 3? [2 MARKS]


(a) A Piece Of Paper Is Folded As Shown Below. How Many Symm...
(b) 
How many lines of symmetry are possible for this figure? [2 MARKS]


(a) A Piece Of Paper Is Folded As Shown Below. How Many Symm...


 Discuss Question
Answer: Option A. ->
:

a) 2 Marks
b) 2 Marks
 
(a) The piece of paper is folded 2 times.  So, when we open that piece of paper, we get 4 symmetrical squares.


(a) A Piece Of Paper Is Folded As Shown Below. How Many Symm...
(b) 
For this figure, we can have 6 lines of symmetry.


(a) A Piece Of Paper Is Folded As Shown Below. How Many Symm...


Question 55.


Complete the following diagrams by drawing the mirror images.  [4 MARKS]


(i) Complete The Following Diagrams By Drawing The Mirror Images...    (ii) Complete The Following Diagrams By Drawing The Mirror Images...        (iii)  Complete The Following Diagrams By Drawing The Mirror Images...       (iv)  Complete The Following Diagrams By Drawing The Mirror Images...


 Discuss Question
Answer: Option A. ->
:

Completed Figures: 1 Mark each
(i)
Complete The Following Diagrams By Drawing The Mirror Images...
(ii)
Complete The Following Diagrams By Drawing The Mirror Images...  
(iii)
   Complete The Following Diagrams By Drawing The Mirror Images...  
(iv)
 Complete The Following Diagrams By Drawing The Mirror Images...


Question 56.


Draw a polygon with six lines of symmetry. What is it called? [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Diagram: 1 Mark
Labelling: 1 Mark
Naming: 1 Mark
A polygon having six lines of symmetry is a regular hexagon.


Draw A Polygon With Six Lines Of Symmetry. What Is It Called...


Question 57.


How many lines of symmetry are possible for an equilateral triangle. Explain with a proper diagram? [3 MARKS]


 Discuss Question
Answer: Option A. ->
:

Diagram: 1 Mark
Answer: 1 Mark
Explanation: 1 Mark
For an equilateral triangle, we have 3 lines of symmetry. It can be divided into two equal parts in 3 ways.


How Many Lines Of Symmetry Are Possible For An Equilateral T...


Question 58.


What letters of the English alphabet have reflection symmetry about:
a) A Vertical mirror
b) A Horizontal mirror  [4 MARKS]


 Discuss Question
Answer: Option A. ->
:

Each Option: 2 Marks
a) Vertical mirror – A, H, I, M, O, T, U, V, W, X and Y
What Letters Of The English Alphabet Have Reflection Symmetr...
Horizontal mirror - B, C, D, E, H, I, O and X
What Letters Of The English Alphabet Have Reflection Symmetr...


Question 59.


Which of these puzzle pieces are symmetrical?


Which Of These Puzzle Pieces Are Symmetrical?


  1.      only 3 & 2
  2.     only 1 & 4
  3.     only 3 & 4
  4.     1,2, 3 & 4 
 Discuss Question
Answer: Option D. -> 1,2, 3 & 4 
:
D

To show that all the puzzle pieces are symmetrical to each other, their appropriately rotated images are given below.


Which Of These Puzzle Pieces Are Symmetrical?


Question 60.


Line of symmetry divides a figure into two equal halves in all aspects.


  1.     True
  2.     False
  3.     only 3 & 4
  4.     1,2, 3 & 4 
 Discuss Question
Answer: Option A. -> True
:
A

Line of symmetry divides a figure into two equal halves in all aspects. Line of symmetry is the imaginary line where you could fold the image and have both halves match exactly.


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