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Textbook Symmetry - Maharashtra Board for Class 6 All Subjects PDF Download

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40
7
Symmetry
Activity :  Take a paper and fold it so that it gets divided into 
two equal parts and unfold it. Make a blob of 
colour on one of the parts. Fold the paper again 
and press it a little. Now, unfold it. What do you 
see? The shape obtained is symmetrical about the 
line of the fold.
Activity  :  Now take a paper and a length of thread. Dip the 
thread in colour. Place it on one side of the paper. 
Fold the paper over it. Keeping the folded paper 
pressed down, pull out the thread by one of its 
ends. Unfold the paper. You will see a picture. 
The shape on the other side of the line will be like 
the one on the first. The picture that is formed is said to be symmetrical.
Do you recognize this picture?
Why do you think the letters written on the front of the 
vehicle are written the way they are? Copy them on a paper. 
Hold the paper in front of a mirror and read it. 
Do you see letters written like this anywhere else?
Teacher : Anil, Sudha, we can see ourselves in the 
mirror. That is our image. What is different 
about it? 
Sudha : I have pinned my badge on my left. But, it 
appears on the right in the image.
Try this.
Think about it.
Let’s discuss.
Page 2


40
7
Symmetry
Activity :  Take a paper and fold it so that it gets divided into 
two equal parts and unfold it. Make a blob of 
colour on one of the parts. Fold the paper again 
and press it a little. Now, unfold it. What do you 
see? The shape obtained is symmetrical about the 
line of the fold.
Activity  :  Now take a paper and a length of thread. Dip the 
thread in colour. Place it on one side of the paper. 
Fold the paper over it. Keeping the folded paper 
pressed down, pull out the thread by one of its 
ends. Unfold the paper. You will see a picture. 
The shape on the other side of the line will be like 
the one on the first. The picture that is formed is said to be symmetrical.
Do you recognize this picture?
Why do you think the letters written on the front of the 
vehicle are written the way they are? Copy them on a paper. 
Hold the paper in front of a mirror and read it. 
Do you see letters written like this anywhere else?
Teacher : Anil, Sudha, we can see ourselves in the 
mirror. That is our image. What is different 
about it? 
Sudha : I have pinned my badge on my left. But, it 
appears on the right in the image.
Try this.
Think about it.
Let’s discuss.
41
Practice Set 20
(1) (2) (3) (4)
Anil  :  My image in the mirror is as far behind in the mirror as I am in front of it.
Sudha :  Teacher’s pallu is on her left shoulder. But in the mirror it appears to be on 
her right shoulder.
Teacher : We and our images are symmetrical with reference to the mirror.
Reflectional Symmetry
Write the English capital letters A, H, M in a large 
size on separate sheets of paper. Fold the paper so that 
their two parts fall exactly on each other. Mark with 
dots the line which makes two equal parts of the figure. 
This line is the axis of symmetry of the figure.
 If a symmetrical figure gets divided by an axis in the figure into two parts which fall 
exactly on each other, its symmetry is called reflectional symmetry. Some figures have 
more than one axis of symmetry.
The figures below are symmetrical.
(1) Draw the axes of symmetry of each of the figures below. Which of them has more
(2) Write the capital letters of the English alphabet in your notebook. Try to draw their
axes of symmetry. Which ones have an axis of symmetry? Which ones have more than
historical buildings, etc. Find symmetrical shapes among them and make a collection
of them.
Let’s learn.
of symmetry? than one  axis 
axis one 
(3) Use colour, a thread and a folded paper to draw symmetrical shapes.
(4) Observe various commonly seen objects such as tree leaves, birds in flight, pictures of
of symmetry?
Page 3


40
7
Symmetry
Activity :  Take a paper and fold it so that it gets divided into 
two equal parts and unfold it. Make a blob of 
colour on one of the parts. Fold the paper again 
and press it a little. Now, unfold it. What do you 
see? The shape obtained is symmetrical about the 
line of the fold.
Activity  :  Now take a paper and a length of thread. Dip the 
thread in colour. Place it on one side of the paper. 
Fold the paper over it. Keeping the folded paper 
pressed down, pull out the thread by one of its 
ends. Unfold the paper. You will see a picture. 
The shape on the other side of the line will be like 
the one on the first. The picture that is formed is said to be symmetrical.
Do you recognize this picture?
Why do you think the letters written on the front of the 
vehicle are written the way they are? Copy them on a paper. 
Hold the paper in front of a mirror and read it. 
Do you see letters written like this anywhere else?
Teacher : Anil, Sudha, we can see ourselves in the 
mirror. That is our image. What is different 
about it? 
Sudha : I have pinned my badge on my left. But, it 
appears on the right in the image.
Try this.
Think about it.
Let’s discuss.
41
Practice Set 20
(1) (2) (3) (4)
Anil  :  My image in the mirror is as far behind in the mirror as I am in front of it.
Sudha :  Teacher’s pallu is on her left shoulder. But in the mirror it appears to be on 
her right shoulder.
Teacher : We and our images are symmetrical with reference to the mirror.
Reflectional Symmetry
Write the English capital letters A, H, M in a large 
size on separate sheets of paper. Fold the paper so that 
their two parts fall exactly on each other. Mark with 
dots the line which makes two equal parts of the figure. 
This line is the axis of symmetry of the figure.
 If a symmetrical figure gets divided by an axis in the figure into two parts which fall 
exactly on each other, its symmetry is called reflectional symmetry. Some figures have 
more than one axis of symmetry.
The figures below are symmetrical.
(1) Draw the axes of symmetry of each of the figures below. Which of them has more
(2) Write the capital letters of the English alphabet in your notebook. Try to draw their
axes of symmetry. Which ones have an axis of symmetry? Which ones have more than
historical buildings, etc. Find symmetrical shapes among them and make a collection
of them.
Let’s learn.
of symmetry? than one  axis 
axis one 
(3) Use colour, a thread and a folded paper to draw symmetrical shapes.
(4) Observe various commonly seen objects such as tree leaves, birds in flight, pictures of
of symmetry?
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FAQs on Textbook: Symmetry

1. What is symmetry and why is it important in mathematics?
Ans. Symmetry refers to a balanced and proportional similarity in shape and arrangement. In mathematics, symmetry is important because it helps in understanding geometric figures, patterns, and designs. It allows us to simplify complex problems, analyze shapes, and predict their properties. Symmetry is also prevalent in nature and art, making it a fundamental concept across various disciplines.
2. How can we identify different types of symmetry in shapes?
Ans. There are several types of symmetry in shapes, including reflective symmetry, rotational symmetry, and translational symmetry. Reflective symmetry occurs when a shape can be divided into two identical halves by a line (the line of symmetry). Rotational symmetry exists when a shape can be rotated around a point and still look the same at certain angles. Translational symmetry is seen when a shape can be moved (translated) along a certain direction and remain unchanged. Identifying these types involves visual inspection and understanding the properties of the shapes.
3. Can you give examples of symmetry in everyday life?
Ans. Yes, symmetry is found all around us in everyday life. Examples include the human face, which often exhibits bilateral symmetry, where one side mirrors the other. Flowers, such as daisies and tulips, show radial symmetry, as their petals are arranged around a central point. Buildings and bridges often incorporate symmetrical designs for aesthetic appeal and structural integrity. Additionally, many artworks and designs utilize symmetry to create visual harmony.
4. How does symmetry relate to art and design?
Ans. Symmetry plays a significant role in art and design as it enhances visual appeal and balance. Artists and designers use symmetrical patterns to create harmony and order in their work. Symmetry can evoke feelings of stability, beauty, and order, which can be very powerful in communicating messages through art. Many famous artworks and architectural masterpieces utilize symmetry to attract viewers' attention and create a sense of tranquility.
5. What are the real-world applications of symmetry in science and technology?
Ans. Symmetry has various applications in science and technology. In physics, it helps in understanding fundamental forces and particles through concepts like symmetry breaking. In biology, symmetry is crucial in studying the development and evolution of organisms, as many living beings exhibit symmetrical structures. In technology, symmetry is used in computer graphics, engineering design, and robotics to create balanced and efficient systems. Understanding symmetry can lead to innovations in these fields, enhancing both functionality and aesthetics.
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