Revision Notes for CBSE Class 7 Maths Chapter 12 Symmetry - Free PDF Download
Line of Symmetry
When a shape coincides with another shape completely then they are said to have symmetry.
Symmetry can also be observed within a shape. When one part of a shape coincides with another part then they are said to have symmetry within a shape.
The line which divides a shape into two identical parts is called a line of symmetry.
For Example: In the figure below the dotted line is the line of symmetry and left and right part looks identical or symmetrical.
Lines of Symmetry for Regular polygon
Regular polygons are those polygons whose length of all sides and measure of angles are equal.
In regular polygons lines of symmetry are equal to the sides of regular polygons.
For Example:
Triangle has three sides and three lines of symmetry.
Square has four sides and four lines of symmetry.
Regular pentagon has five sides and five lines of symmetry.
Regular hexagon has six sides and six lines of symmetry.
Rotational Symmetry
When a shape is rotated at some angle about its axis clockwise or anticlockwise and after rotation if the shape looks exactly the same as it was before then it is called rotational symmetry.
The fixed point through which the shape is rotated is called centre of rotation.
The angle at which rotational symmetry occurs is called angle of rotation.
The number of times a shape looks the same on rotation is called order of rotational symmetry.
For Example: Order of rotational symmetry of square is 4
Line Symmetry and Rotational Symmetry
There are some shapes which have line as well as rotational symmetry.
Circle is the perfect example of this type; it has infinite line symmetry and can be rotated around its centre through any angle i.e., it has rotational symmetry at any angle.
There are some alphabets also which show both line and rotational symmetry such as H, O, I and X.
Chapter Summary - Symmetry
In the world of "Symmetry," Class 7 students embark on a journey to discover balance and harmony in shapes. Symmetry is like a magical mirror that reflects perfect equality. This chapter unveils the secrets of symmetrical objects, where one side is an exact copy of the other. From identifying symmetry in everyday objects to exploring the axis of symmetry, students learn the art of spotting hidden patterns. Practical and fascinating, "Symmetry" introduces a new way of seeing the world, where balance and beauty intertwine, making maths a delightful adventure of shapes and reflections.
Some Easy Tips to Remember the Symmetry Chapter
Here are some tips and tricks to remember the "Symmetry" chapter in Class 7 Maths easily:
1. Mirror Magic: Imagine a mirror reflecting shapes. If one side perfectly matches the other, it's symmetrical!
2. Axis Adventure: Symmetry often happens along an invisible line called the axis. Picture this line and observe if both sides are identical.
3. Butterfly Wings: Think of butterfly wings. If they are the same on both sides, it's symmetry at play!
4. Fold and Check: Pretend to fold the shape along a line. If the sides match, it's symmetrical – like folding a paper in half.
5. Symmetry in Nature: Look around for symmetrical objects in nature, like leaves, flowers, and even animals. It's everywhere!
6. Symmetry Hunt: Turn it into a game. Hunt for symmetrical objects at home or in your surroundings. The more you spot, the easier it gets.
7. Remember the Term: Break down "symmetry" into "sym-" meaning same and "-metry" meaning measure. It's like measuring if both sides are the same!
8. Practice Patterns: Draw symmetrical patterns regularly. It helps your brain recognize the symmetry in different shapes.
These tips turn the "Symmetry" chapter into a playful adventure, making it easier for Class 7 students to understand and remember.
Why Should You Use Vedantu’s Revision Notes for Class 7 Chapter 12 - Symmetry?
Embark on a journey of mathematical discovery with Vedantu’s Revision Notes for Class 7 Maths Chapter 12 - Symmetry. Tailored for you, these notes are like friendly guides, simplifying the fascinating world of symmetry in a way that's easy to understand.
1. Conceptual Summaries: Quickly grasp the essence of symmetry, unraveling the beauty of balanced shapes.
2. Simplified Understanding: Navigate through the complexities of symmetry effortlessly, transforming intricate concepts into clear insights.
3. Last-Minute Symmetry Mastery: Revision notes are a handy resource for those final exam preparations, ensuring you're well-versed in the art of symmetry.
4. Enhanced Memory Retention: Solidify your understanding of crucial symmetry principles, reinforcing them for long-term memory.
5. Strategic Exam Preparation: Guiding you with key points and tips specific to symmetry, ensuring you're well-prepared for your exams.
6. Time-Efficient Learning: Save time by accessing consolidated information, allowing you to focus on mastering the symmetry chapter efficiently.
7. Focused Prioritization: Recognize the importance of specific symmetry topics and questions, giving you a targeted approach to your studies.
8. Real-World Symmetry Examples: Connect the theoretical concepts of symmetry to practical examples, making the learning experience more relatable.
9. Confidence-Boosting Study Aid: Approach your exams with confidence, knowing Vedantu's notes serve as a reliable companion in your journey to mastering symmetry.
Conclusion
The notes for CBSE Class 7 Maths Chapter 12 - Symmetry offer a crystal-clear understanding of the fascinating world of symmetry. Students gain valuable insights into the properties and characteristics of symmetrical shapes, making the concept easy to grasp. The well-organized format of these notes not only supports efficient revision but also enhances retention, ensuring that students remember and apply the principles of symmetry. With practical examples and real-life applications, these notes not only make learning enjoyable but also lay a strong foundation for excelling in mathematics. Invaluable for academic success, these notes have proven to be an essential tool in helping students thrive in their studies.
FAQs on Symmetry Class 7 Notes CBSE Maths Chapter 12 (Free PDF Download)
Q1. Why should I use Vedantu’s Revision notes for Class 7 Mathematics when I can make my own?
It is always advisable that students make their own notes while studying a chapter. However, it is also beneficial to refer to more professional notes like the Revision Notes by Vedantu for the following reasons:
It gives you an added perspective on your own notes.
Notes provided by our experienced professionals are all-encompassing and perfectly suited for revision.
They provide you with all the significant information crisply and concisely.
They are easily downloadable for free.
Q2. What are the topics mentioned in Vedantu’s Revision notes for Chapter 12 Symmetry of Class 7 Mathematics ?
Our experts have ensured that all the important topics from Chapter 7 "Symmetry" are mentioned in the Revision notes by Vedantu. These straightforward notes mention the significant topics:
Line of Symmetry
Lines of Symmetry for Regular polygon
Rotational Symmetry
Line Symmetry and Rotational Symmetry
These topics are explained comprehensively in Vedantu's Revision Notes for Class 7 Symmetry using suitable examples. They also contain well-suited images to explain the topics wherever necessary.
Q3. What is the charge for downloading Vedantu’s Revision Notes Chapter 12 Symmetry of Class 7 Mathematics ?
The best part of using Vedantu is that most of our services do not cost you a single penny. These include our NCERT Solution, Revision Notes, Sample Papers, Previous Years' Question Papers, Mock Papers, Conceptual Videos, Reference Book Solutions, and Masterclasses for all grades.
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Q4. Why should we learn about symmetry?
In Geometry, Symmetry is an important concept. For Class 7 students, this concept makes them keenly observe the objects around them and also apply reasoning skills to them. Symmetry is used in various fields including architecture, design, drawing, tailoring, etc. If you look closely, you can observe several symmetrical objects around you. If you like to paint, sketch, and design then the concepts of this chapter can prove very beneficial to you.
Q5. Define a) Centre of Rotation b) Angle of Rotation c) Rotational Symmetry.
Here are the definitions of these terms:
Centre of Rotation: when an object rotates, it rotates at a fixed point. This fixed point is termed the center of rotation.
Angle of rotation: the angle at which an object rotates is called the angle of rotation.
Rotational Symmetry: when an object completes one rotation and still looks the same, it is called to have rotational symmetry.
You can refer to Vedantu’s Revision Notes for Symmetry for more information on these topics.
