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Symmetry Class 7 PPT

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What is a line of 
symmetry?
• A line on which a figure can be folded so 
that both sides match.
– Maryland Content Standard 2.E.2 – Identify and 
describe symmetry in geometric figures or pictures. 
(Up to four lines of symmetry)
Page 3


What is a line of 
symmetry?
• A line on which a figure can be folded so 
that both sides match.
– Maryland Content Standard 2.E.2 – Identify and 
describe symmetry in geometric figures or pictures. 
(Up to four lines of symmetry)
To be a line of symmetry, 
the shape must have two 
halves that match exactly.
When you trace a heart onto 
a piece of folded paper, 
and then cut it out, the two half 
hearts make a whole heart.  
The two halves are symmetrical.
Page 4


What is a line of 
symmetry?
• A line on which a figure can be folded so 
that both sides match.
– Maryland Content Standard 2.E.2 – Identify and 
describe symmetry in geometric figures or pictures. 
(Up to four lines of symmetry)
To be a line of symmetry, 
the shape must have two 
halves that match exactly.
When you trace a heart onto 
a piece of folded paper, 
and then cut it out, the two half 
hearts make a whole heart.  
The two halves are symmetrical.
Which of these flags have a 
line of symmetry?
United States of America Canada
Maryland England
Page 5


What is a line of 
symmetry?
• A line on which a figure can be folded so 
that both sides match.
– Maryland Content Standard 2.E.2 – Identify and 
describe symmetry in geometric figures or pictures. 
(Up to four lines of symmetry)
To be a line of symmetry, 
the shape must have two 
halves that match exactly.
When you trace a heart onto 
a piece of folded paper, 
and then cut it out, the two half 
hearts make a whole heart.  
The two halves are symmetrical.
Which of these flags have a 
line of symmetry?
United States of America Canada
Maryland England
What about these math symbols?
Do they have symmetry?
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FAQs on Symmetry Class 7 PPT

1. What is symmetry in mathematics?
Ans. Symmetry in mathematics refers to a balanced arrangement of objects or shapes that can be divided into two equal parts by a line, called the line of symmetry. This means that if the object is folded along the line of symmetry, the two halves will perfectly match each other.
2. How can we identify if a shape has symmetry?
Ans. To identify if a shape has symmetry, we can look for a line (or lines) that divides the shape into two identical halves. If such a line exists, then the shape has symmetry. We can also test for symmetry by folding the shape along the suspected line of symmetry and checking if the two halves match perfectly.
3. Are all shapes symmetrical?
Ans. No, not all shapes are symmetrical. Some shapes, such as circles, do not have any lines of symmetry. Other shapes, like squares and rectangles, have multiple lines of symmetry. It is important to examine the characteristics of each shape to determine if it has symmetry or not.
4. How can symmetry be used in real-life applications?
Ans. Symmetry is used in many real-life applications. Architects use symmetry principles to design buildings with pleasing aesthetics. Artists use symmetry to create balanced and visually appealing artwork. Engineers use symmetry in the design of structures to ensure stability and strength. Symmetry is also used in nature, such as the symmetry of flowers and butterfly wings.
5. Can symmetry help us solve mathematical problems?
Ans. Yes, symmetry can be helpful in solving mathematical problems. In geometry, symmetry can be used to find missing measurements or angles in symmetrical shapes. It can also be used to simplify calculations by taking advantage of the symmetry properties of a figure. Additionally, symmetry is a fundamental concept in group theory, a branch of mathematics that has applications in various fields, including physics and cryptography.
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