All Exams  >   Grade 7  >   Mathematics for Grade 7  >   All Questions

All questions of Reflection and Rotational Symmetry for Grade 7 Exam

Find the number of lines of symmetry in the below figure:
  • a)
    3
  • b)
    4
  • c)
    0
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Ananya Das answered
If you draw a vertical or horizontal or diagonal line you will find that its not symmetrical. Hence, it doesn’t have any lines of symmetry.

How many lines of symmetries are there in rectangle?
  • a)
    2
  • b)
    1
  • c)
    0
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Only 2 lines of symmetry can be drawn in a rectangle. one is vertical and another is horizontal. carners lines are incorrect.

How many lines of symmetries are there in a square?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?

Muskan Preet answered
Because square has 4 lines . If we draw symmetry in the centre of square the lines are also four 2 right side and 2 left side

Number of lines of symmetry a triangle does not have:
  • a)
    3
  • b)
    1
  • c)
    0
  • d)
    2
Correct answer is option 'D'. Can you explain this answer?

Anita Menon answered
 
Equilateral Triangle
(all sides equal,
all angles equal)   = = 3 Lines of Symmetry 
Isosceles Triangle
(two sides equal,
two angles equal) == 1 Lines of Symmetry 
Scalene Triangle
(no sides equal,
no angles equal) == No Lines of Symmetry

Which of the followings has both horizontal as well as vertical line of symmetry?
  • a)
    H
  • b)
    S
  • c)
    V
  • d)
    A
Correct answer is option 'A'. Can you explain this answer?

Correct answer is option 'a' as H is horizontally and vertically symmetrical if we draw a line between H vertically and horizontally across it.

Find the number of lines of symmetry in the below figure:
  • a)
    3
  • b)
    1
  • c)
    2
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Amit Sharma answered
It has only 1 line of symmetry which is a vertical line of symmetry, as if you draw a horizontal line one half will have a face and one half will have legs which are not symmetrical.

The mirror image of ‘W’, when the mirror is placed vertically:
  • a)
    V
  • b)
    M
  • c)
    U
  • d)
    W
Correct answer is option 'D'. Can you explain this answer?

Sukriti Shah answered
An object is formed by reflecting the object in a mirror. It is a reversed and flipped version of the original object. The mirror image appears to be behind the mirror and is identical in shape and size to the original object, but with the left and right sides switched.

Letter ‘C’ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
  • a)
    a horizontal mirror
  • b)
    a vertical mirror
  • c)
    both
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Dear [Recipient],

I hope this letter finds you in good health and high spirits. I am writing to express my deepest gratitude and appreciation for your kindness and support during a difficult time in my life.

When I was going through a challenging period, you were the rock that I could lean on. Your unwavering support and understanding helped me navigate through the storm, and I cannot thank you enough for being there for me.

Your words of encouragement and your willingness to lend an ear when I needed to vent meant more to me than words can express. You provided me with a safe space to share my thoughts and feelings without judgment, and that meant the world to me.

Your generosity and acts of kindness did not go unnoticed. From offering a helping hand to providing a shoulder to cry on, you went above and beyond to make sure I felt supported and cared for. Your selflessness is truly inspiring, and I am forever grateful for your presence in my life.

I also want to acknowledge the impact you have had on my personal growth. Your guidance and advice have been invaluable, and I have learned so much from you. Your wisdom and perspective have helped me become a stronger, more resilient person, and I am eternally grateful for the lessons you have taught me.

I want you to know that your kindness has not gone unnoticed or unappreciated. Your actions have made a lasting impact on my life, and I will carry the lessons I have learned from you with me always.

Thank you once again for your unwavering support, compassion, and love. I am truly blessed to have you in my life, and I will forever cherish our friendship.

With heartfelt gratitude,
[Your Name]

A Which of the following figures has rotational symmetry of order more than 1?
  • a)
  • b)
  • c)
  • d)
    All of these 
Correct answer is option 'D'. Can you explain this answer?

Amit Sharma answered
Rotational Symmetry is how many times a shape fits into itself when rotated.So when a circle is rotated by 90 degree it fits into its original space. So its order is 4 since it fits into itself 4 times. An equilateral triangle when rotated by 120 degrees fits into itself. So its order is 3. The 3rd shape rotates the same as the circle. So its order is 4.

Which of the following alphabets has no line of symmetry?
  • a)
    A
  • b)
    B
  • c)
    P
  • d)
    O
Correct answer is option 'C'. Can you explain this answer?

Mainak Chauhan answered
Line of Symmetry in Alphabets

Symmetry in Alphabets:
Symmetry is a key concept in mathematics and can be observed in various shapes and figures, including alphabets. A line of symmetry divides a shape into two identical halves, mirroring each other.

Alphabets with Symmetry:
- Alphabets like A and O have a line of symmetry. When folded along the line of symmetry, both halves match perfectly.

Alphabets without Symmetry:
- The alphabet P does not have a line of symmetry. If you try to fold the alphabet P along any axis, the two halves will not match perfectly.

Explanation:
When we look at the alphabet P, we can see that it has a curved shape with a vertical line on one side. This vertical line acts as a distinguishing feature that prevents the alphabet P from having a line of symmetry. No matter how we try to fold the alphabet P, the two halves will not coincide perfectly.

Conclusion:
In summary, out of the alphabets mentioned (A, B, P, O), the alphabet P is the one that does not have a line of symmetry. This lack of symmetry is due to the specific shape and design of the alphabet P, making it distinct from the other alphabets mentioned.

Which of these letters has only rotational symmetry?
  • a)
    S
  • b)
    E
  • c)
    B
  • d)
    P
Correct answer is option 'A'. Can you explain this answer?

Malini bajaj answered
Rotational symmetry in capital letters describes a property in which the letter looks the same after being rotated. Capital letters that have rotational symmetry are: Z, S, H, N and O.
The letters Z, S, H and N, when rotated 180 degrees clockwise or counterclockwise, will look the same after rotation completion. This is called rotational symmetry on the order of two, because there were two 90 degree rotations. The letter O has rotational symmetry on the order of one, because after being rotated by 90 degrees, it still looks the same.

A square has a rotational symmetry of order 4 about its centre. What is the angle of rotation?
  • a)
    45o
  • b)
    90o
  • c)
    180o
  • d)
    270o
Correct answer is option 'B'. Can you explain this answer?

The angle of rotation of a shape refers to the degree by which the shape needs to be rotated to coincide with its original position. In this case, a square has a rotational symmetry of order 4, which means it can be rotated by a certain angle multiple times to align with itself.

To determine the angle of rotation, we need to consider the number of times the square can be rotated to achieve symmetry. Since the rotational symmetry of order 4 means the square can be rotated four times to match its original position, we can calculate the angle of rotation by dividing a full circle (360 degrees) by the number of rotations.

Let's break down the steps to find the angle of rotation:

Step 1: Determine the number of rotations for symmetry
In this case, the square has a rotational symmetry of order 4, which means it can be rotated four times to align with itself.

Step 2: Calculate the angle of rotation
To find the angle of rotation, we divide a full circle (360 degrees) by the number of rotations.
360 degrees ÷ 4 rotations = 90 degrees

Therefore, the angle of rotation for the square with rotational symmetry of order 4 is 90 degrees.

Option B, which states that the angle of rotation is 90 degrees, is the correct answer.

How many lines of symmetries are there in an isosceles triangle?
  • a)
    3
  • b)
    2
  • c)
    1
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Sreeja Sasmal answered
Option C is correct.
We know an isoceles triangle has two sides of equal length. Let's take the length of the sides as 6 cm, 6 cm and 4 cm.
We can only divide from the middle. If we try also to divide it from other angles we cannot.

Line symmetry is also known as _______ symmetry.
  • a)
    Rotational
  • b)
    Non linear
  • c)
    irregular
  • d)
    reflection
Correct answer is option 'D'. Can you explain this answer?


Line Symmetry Explained

Line symmetry is also known as reflection symmetry, where an object can be divided into two equal halves that are exact mirror images of each other. This type of symmetry occurs when one half of an object is the reflection of the other half across a line.

Characteristics of Line Symmetry:
- Line symmetry is also known as reflection symmetry.
- It occurs when an object can be divided into two equal halves that are mirror images of each other.
- The line of symmetry is the line along which the object can be folded to create symmetry.

Examples of Line Symmetry:
- A square has 4 lines of symmetry, one along each diagonal and one along each side.
- A circle has infinite lines of symmetry passing through its center.
- The letter "X" has one line of symmetry down the middle.

Importance of Line Symmetry:
- Line symmetry is important in art, design, and architecture to create balance and aesthetics.
- It is used in mathematics to study shapes and patterns.
- Understanding line symmetry helps in identifying and creating symmetrical objects.

In conclusion, line symmetry is essential in various fields and is also known as reflection symmetry due to its characteristic of creating mirror images along a line.

Which of the following alphabets has line symmetry?
  • a)
    P
  • b)
    Q
  • c)
    Z
  • d)
    A
Correct answer is option 'D'. Can you explain this answer?

Dhanya R answered
Because you are passing a vertical line through it. I guess that's why it is the answer.

Find the number of lines of symmetry of the following figure:
  • a)
    2
  • b)
    1
  • c)
    3
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Geetika Shah answered
Yes there are only two lines of symmetry i.e. a horizontal and a vertical line of symmetry, diagonally its not symmetrical.

Letter ‘H’ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
  • a)
    a vertical mirror
  • b)
    Both horizontal and veritcal
  • c)
    a horizontal mirror
  • d)
    Neither horizontal nor veritcal
Correct answer is option 'B'. Can you explain this answer?

Kirti Dasgupta answered
Letters of the English alphabet symmetric about both horizontal and vertical mirrors: -
H, I, O and X
The letters when flipped along both the axes (horizontal and vertical) retains the original figure.

Chapter doubts & questions for Reflection and Rotational Symmetry - Mathematics for Grade 7 2025 is part of Grade 7 exam preparation. The chapters have been prepared according to the Grade 7 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Grade 7 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Reflection and Rotational Symmetry - Mathematics for Grade 7 in English & Hindi are available as part of Grade 7 exam. Download more important topics, notes, lectures and mock test series for Grade 7 Exam by signing up for free.

Mathematics for Grade 7

93 videos|190 docs|43 tests

Top Courses Grade 7

Signup to see your scores go up within 7 days!

Study with 1000+ FREE Docs, Videos & Tests
10M+ students study on EduRev