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Symmetrical Designs
Page 2


Symmetrical Designs
What is Symmetry?
Symmetry means that when we divide a shape into two parts, both parts look the same, like a mirror image.
Two main types:
Reflection Symmetry (Mirror Symmetry) a.
Rotational Symmetry b.
Page 3


Symmetrical Designs
What is Symmetry?
Symmetry means that when we divide a shape into two parts, both parts look the same, like a mirror image.
Two main types:
Reflection Symmetry (Mirror Symmetry) a.
Rotational Symmetry b.
Reflection Symmetry
A figure has reflection symmetry if one half is the mirror image of the other.
The dividing line is called the Line of Symmetry.
When folded along this line, both halves overlap exactly.
Example: A square has 4 lines of symmetry, which are 
lines through the midpoints of opposites sides, and lines 
through opposite vertices make up the four lines of 
symmetry.
Page 4


Symmetrical Designs
What is Symmetry?
Symmetry means that when we divide a shape into two parts, both parts look the same, like a mirror image.
Two main types:
Reflection Symmetry (Mirror Symmetry) a.
Rotational Symmetry b.
Reflection Symmetry
A figure has reflection symmetry if one half is the mirror image of the other.
The dividing line is called the Line of Symmetry.
When folded along this line, both halves overlap exactly.
Example: A square has 4 lines of symmetry, which are 
lines through the midpoints of opposites sides, and lines 
through opposite vertices make up the four lines of 
symmetry.
Line of Symmetry
The line that divides a shape into two equal, mirror-image halves is called the line of symmetry.
Vertical Line of Symmetry 3 The line goes up and down.
Horizontal Line of Symmetry 3 The line goes left to right.
Some shapes have more than one line of symmetry.
Page 5


Symmetrical Designs
What is Symmetry?
Symmetry means that when we divide a shape into two parts, both parts look the same, like a mirror image.
Two main types:
Reflection Symmetry (Mirror Symmetry) a.
Rotational Symmetry b.
Reflection Symmetry
A figure has reflection symmetry if one half is the mirror image of the other.
The dividing line is called the Line of Symmetry.
When folded along this line, both halves overlap exactly.
Example: A square has 4 lines of symmetry, which are 
lines through the midpoints of opposites sides, and lines 
through opposite vertices make up the four lines of 
symmetry.
Line of Symmetry
The line that divides a shape into two equal, mirror-image halves is called the line of symmetry.
Vertical Line of Symmetry 3 The line goes up and down.
Horizontal Line of Symmetry 3 The line goes left to right.
Some shapes have more than one line of symmetry.
Reflection Symmetry in Alphabets
Some letters have 1 line of symmetry, some have 2, and some have none.
Examples:
Vertical symmetry ³ A, V, T
Horizontal symmetry ³ I, K
Both vertical & horizontal symmetry ³ O, H, X
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FAQs on PPT: Symmetrical Designs - Mathematics (Maths Mela) Class 5 - New NCERT

1. What are symmetrical designs and why are they important in art and nature?
Ans. Symmetrical designs are patterns that are balanced and evenly proportioned on either side of a central line or point. They are important in art and nature because they create harmony and aesthetic appeal, making objects visually pleasing. In nature, many living organisms, such as flowers and animals, exhibit symmetry, which plays a role in attraction and survival.
2. How can students create their own symmetrical designs?
Ans. Students can create their own symmetrical designs by folding a piece of paper in half and drawing on one side. When the paper is unfolded, the image will be mirrored on the other side. They can also use techniques like tracing, using stencils, or digital design tools to experiment with different shapes and colors while maintaining symmetry.
3. What are some examples of symmetrical designs in everyday life?
Ans. Examples of symmetrical designs in everyday life include architectural structures like buildings and bridges, patterns on fabrics, logos of companies, and even the layout of gardens. Natural examples include butterflies, leaves, and the human face, all of which showcase symmetry in their form.
4. How does understanding symmetry benefit students in math and science?
Ans. Understanding symmetry benefits students in math and science as it helps develop spatial reasoning skills, which are crucial for geometry and understanding complex shapes. In science, symmetry plays a role in biology, physics, and chemistry, such as in molecular structures and the study of organisms, leading to a deeper appreciation of the natural world.
5. What activities can enhance students' understanding of symmetrical designs?
Ans. Activities that can enhance students' understanding of symmetrical designs include creating kaleidoscopes, participating in symmetry art projects, exploring tessellations, and conducting symmetry scavenger hunts where they find symmetrical objects in their environment. These hands-on experiences help reinforce the concept of symmetry in an engaging way.
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