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7th Grade > Mathematics

SYMMETRY MCQs

Total Questions : 110 | Page 8 of 11 pages
Question 71.


(a) What are the two names of the line of symmetry of an isosceles triangle?
(b) 
Which capital letters of English alphabets have no line of symmetry?  [2 MARKS]


 Discuss Question
Answer: Option A. ->
:
Each part: 1 Mark
(a) The line of symmetry of an isosceles triangle is also known as median or altitude.
(b) 
Capital letters of English alphabet having no line of symmetry are F, G, J, L, N, P, Q, R, S and Z.
Question 72.


(a) If a fan has a rotational symmetry of order 4, how many blades are there in the fan?
(b) Name the quadrilateral which has both line and rotational symmetry of order more than 1.  [2 MARKS]


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Answer: Option A. ->
:

Each part: 1 Mark
(a) If a fan has rotational symmetry of order 4, this means that the fan looks exactly as it was before the rotation at four instances. This can only happen when it has four blades.
(b) Square has both line and rotational symmetry of order more than 1.


Question 73.


(a) Which of the following letters have horizontal symmetry?
     E, G, C, B, O, W
(b) Find the number of lines of symmetry for the given figure. [2 MARKS]
(a) Which Of The Following Letters Have Horizontal Symmetry?...


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Answer: Option A. ->
:
Each part: 1 Mark
(a) The following letters have horizontal symmetry:
      B, C, E and O
(b) There are four lines of symmetry for the given figure.
(a) Which Of The Following Letters Have Horizontal Symmetry?...
Question 74.


How many lines of symmetry does an equilateral triangle have?  [1 MARK]


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Answer: Option A. ->
:

The line of symmetry is a line which divides the given diagram into two equal mirror images. So, here the number of lines are 3.


How Many Lines Of Symmetry Does An Equilateral Triangle Have...


Question 75.


(a) Investigate and find out the order of rotational symmetry of the below figure.


(a) Investigate And Find Out The Order Of Rotational Symmetr...
(b) How many lines of symmetry does a parallelogram have?
 [3 MARKS]


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Answer: Option A. ->
:

(a) Answer: 1 Mark
     Diagram: 1 Mark
(b) Answer: 1 Mark
(a) For every 90 degrees of rotation, the figure looks the same.


(a) Investigate And Find Out The Order Of Rotational Symmetr...
Therefore the figure has an order of rotational symmetry of 4.
(b) A parallelogram has no line of symmetry.
(a) Investigate And Find Out The Order Of Rotational Symmetr...
Number of lines = 0


Question 76.


How many lines of symmetry do the following figures have?  [3 MARKS]


(i)How Many Lines Of Symmetry Do the Following Figures Have? Â...      (ii)How Many Lines Of Symmetry Do the Following Figures Have? Â...       (iii)  How Many Lines Of Symmetry Do the Following Figures Have? Â...


 Discuss Question
Answer: Option A. ->
:

Figures: 1 Mark each
(i) 1 line of symmetry
 How Many Lines Of Symmetry Do the Following Figures Have? Â...
(ii) 1 line of symmetry​​​​​​​
How Many Lines Of Symmetry Do the Following Figures Have? Â...
 (iii) 1 line of symmetry
 How Many Lines Of Symmetry Do the Following Figures Have? Â...


Question 77.


If a random diagram can be cut into fourteen equal parts, how many lines of symmetry does it have? Draw such a diagram. [3 MARKS]


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Answer: Option A. ->
:

No. of lines of symmetry: 1 Marks
Diagram: 2 Marks
Any line which divides a diagram into two equal halves is called a line of symmetry. This line of symmetry divides the figure into two identical halves. If a random diagram has 7 such lines, it will have 7 lines of symmetry.
The most basic figure that would have 7 lines of symmetry would be a regular heptagon with all 7 sides equal. Such a figure will have 7 lines of symmetry.
If A random Diagram can Be Cut Into Fourteen equal Parts,...


Question 78.


(a) Edward has a shining star as shown below. What is the total number of lines of symmetry in this star? 


(a) Edward Has A Shining Star As Shown Below. What Is The To...
(b) How many lines of symmetry does a regular pentagon have?  [2 MARKS]


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Answer: Option A. ->
:

Each part: 1 Mark
(a) In order to identify the total number of lines of symmetry, we first have to identify the line through which we can fold the figure in such a way that two parts can overlap each other. Hence we find that this figure has five lines of symmetry.


(a) Edward Has A Shining Star As Shown Below. What Is The To...
(b) A
 regular pentagon has 5 lines of symmetry.


(a) Edward Has A Shining Star As Shown Below. What Is The To...


Question 79.


(i) How many of the given alphabets have rotational symmetry:  
      Z, H, E, N, C
(ii) Give the order of the rotational symmetry of each figure.
       (i) How Many Of The Given Alphabets Have Rotational Symmetry...  (i) How Many Of The Given Alphabets Have Rotational Symmetry...        
[3 MARKS]


 Discuss Question
Answer: Option A. ->
:

(i) Correct answer: 1 Mark
(ii) Correct answer: 2 Marks
(i) Z, H, N have rotational symmetry.
    If the given alphabets are rotated about a line passing through their centres, it resembles the same alphabet.
(ii)
(a) 


Original Figure
 Rotational figures
Order of rotational symmetry
(i) How Many Of The Given Alphabets Have Rotational Symmetry...
(i) How Many Of The Given Alphabets Have Rotational Symmetry...
                2
(b)
Original Figure
 Rotational figure
Order of rotational symmetry
(i) How Many Of The Given Alphabets Have Rotational Symmetry...
(i) How Many Of The Given Alphabets Have Rotational Symmetry...
            2
 
Question 80.


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...


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