Symmetry Class 7 important questions with answers PDF download
(1 Mark)
1. Tell whether the dotted line is a line of symmetry?
Ans: Yes
2. Draw the line of symmetry for the diagram below.
Ans:
3. Draw a line of symmetry for the figure given below.
Ans:
4. Does a triangle have a line of symmetry as well as rotational symmetry?
Ans: Yes
5. Does the letter below have a line of symmetry?
Ans:
Ans: Yes
6. State the number of lines of symmetry for the following figures.
(a) A Rhombus
(b) An Equilateral triangle
Ans:
(a) 2
(b) 3
7. Name two examples with no line of symmetry.
Ans: Trapezius and scalene triangle.
8. Give two examples for figures having line symmetry and also rotational symmetry.
Ans: Regular hexagon and equilateral triangle.
9. Name the quadrilateral which have both line and rotational symmetry of order more than 1.
Ans: Square, rectangle, rhombus.
10. Write the order of symmetry.
Ans: Rotational symmetry
Two
11. Does the given figure have a line of symmetry?
(a)
(b)
Ans:
(a) Yes
(b) Yes
12. Draw the second half of each symmetrical shape.
(a)
(b)
Ans:
(a)
(b)
13. Draw the line of symmetry for the following alphabets.
(a)
(b)
Ans:
(a)
(b)
14. Draw the second half of the letters (symmetrical shapes).
(a)
(b)
Ans:
(a)
(b)
15. Give the order of rotational symmetry.
Ans: Number of symmetry’s = Four
3-Marks
16. Can we have a rotational symmetry of order more than one whose angle of rotation is
\[90^0\]
\[22^0\]
Ans:
(a) If angle of symmetry of a figure is a factor of \[360^0\] then it will have rotational symmetry of order more than 1.
(b) \[90^0\] is factor of \[360^0\] but \[22^0\] is not.
The figure having angle of rotation \[90^0\] will have rotational symmetry more than 1.
17. List the alphabets which are having a reflection about vertical symmetry.
Ans: A, H, I, M, O, T, U, V, W, X, Y.
18. List the alphabets which are having a reflection about horizontal symmetry.
Ans: B, C, D, E, H, I, K, O, X.
19. List the alphabets having both vertical and horizontal rotational symmetry.
Ans: H, I, O, X.
20. Draw the line of symmetry
(a)
(b)
(c)
Ans:
(a)
(b)
(c)
Or
21. What is symmetry?
Ans. Symmetry is a balanced arrangement of parts on either side of an axis or a center. If one part mirrors the other, it is symmetrical.
22. How do you identify the axis of symmetry in a shape?
Ans. The axis of symmetry is an imaginary line where a shape can be folded to create two identical halves. To find it, look for a line along which the shape's two halves match.
23. Can all shapes have symmetry?
Ans. No, not all shapes have symmetry. Only specific arrangements of lines, curves, or patterns result in symmetry. For example, a circle has infinite lines of symmetry, while irregular shapes may not have any.
24. Explain rotational symmetry?
Ans. Rotational symmetry is when a shape looks the same after a certain degree of rotation around its center. For instance, a square has rotational symmetry of 90 degrees, as it looks the same after a quarter turn.
25. How can symmetry be applied in real life?
Ans. Symmetry is seen in many everyday objects, from buildings to nature. Architects use symmetry in designing structures, and understanding symmetry helps artists create balanced and visually appealing artworks. Even in biology, living organisms often display symmetrical patterns.
What are the Benefits of Important Questions from Vedantu for Class 7 Maths Chapter 12 - Symmetry?
Embark on a confidence-boosting journey with Vedantu's Important Questions for Class 7 Maths Chapter 12 - Symmetry. These tailored questions act as friendly guides, strategically designed to unravel the secrets of symmetry, making your learning experience efficient and enjoyable.
1. Key Topic Focus: Pinpoint essential symmetry concepts, ensuring your study time is focused on what truly matters for a deeper understanding.
2. Exam Readiness: Propel yourself towards exam success with questions crafted to align with the chapter's core principles, reducing stress and boosting confidence.
3. Concept Reinforcement: Solidify your grasp on fundamental symmetry ideas, reinforcing them through targeted questions for a stronger foundation.
4. Time Mastery: Learn effective time management by practicing questions that mirror exam scenarios, preparing you to tackle symmetry challenges efficiently.
5. Self-Assessment: Evaluate your progress with questions designed for self-assessment, empowering you to track your growth and become a symmetry master.
6. Strategic Scoring: Adopt a smart approach to scoring higher by focusing on crucial symmetry topics, turning each question into a stepping stone towards excellence.
7. Comprehensive Understanding: Explore a diverse range of symmetry topics, ensuring you comprehend the intricacies and beauty of symmetrical patterns thoroughly.
8. Confidence-Boosting Preparation: Equip yourself for exam success as these questions act as reliable companions, supporting your journey to mastering symmetry with confidence.
Conclusion
Reviewing all the crucial questions for Class 7 Maths Chapter 12 - Symmetry provides students with a solid grasp of the chapter's topics. The extra and important questions for Class 7 Maths Chapter 12 - Symmetry engage in a concept-focused discussion, encompassing all chapter themes. This question-and-answer method proves time-saving during exam prep, offering an efficient way to revise the chapter and enhance understanding. Practicing these important questions streamlines preparation and boosts confidence for the upcoming exams.
Related Study Materials for Class 7 Maths Chapter 12 Symmetry
Chapter-wise Important Questions Links for Class 7 Maths
Important Study Materials for Class 7 Maths
FAQs on CBSE Important Questions for Class 7 Maths Symmetry - 2025-26
1. What are the most important topics within the Symmetry chapter for the CBSE Class 7 Maths exam 2025-26?
For the 2025-26 session, the most crucial topics in Symmetry are:
- Lines of symmetry for regular and irregular polygons.
- Identifying the centre of rotation.
- Determining the order of rotational symmetry for various shapes.
- Differentiating between linear and rotational symmetry with examples.
2. How much weightage does Chapter 12, Symmetry, typically carry in the Class 7 final exam?
While the exact marks can vary based on the school's paper pattern, the chapter on Symmetry is an important part of the Geometry unit. You can typically expect questions worth 3 to 5 marks from this chapter. This often includes a mix of short-answer questions (1-2 marks) and a slightly more detailed question (2-3 marks) involving drawing or identifying symmetrical properties.
3. What types of Higher-Order Thinking Skills (HOTS) questions are important from the Symmetry chapter?
HOTS questions from Symmetry often move beyond simple identification and test your analytical skills. Expect important questions that ask you to:
- Create or draw shapes that fulfil specific conditions, such as having a certain number of lines of symmetry and a particular order of rotational symmetry.
- Analyse complex or composite figures to find all symmetrical properties.
- Relate symmetry to real-life objects, like company logos or architectural designs, and explain their symmetrical features.
4. What kind of Multiple Choice Questions (MCQs) can be expected from Class 7 Maths Chapter 12?
MCQs from the Symmetry chapter usually test your quick identification skills. Some expected question types include:
- Identifying the number of lines of symmetry for a given letter of the alphabet (e.g., H, S, O).
- Determining the order of rotational symmetry for a standard shape like a square, rectangle, or an equilateral triangle.
- Choosing which of the given figures possesses both line and rotational symmetry.
5. What is the key difference between line symmetry and rotational symmetry for exam questions?
The key difference lies in the transformation involved. Line symmetry, also known as reflectional symmetry, is when a figure can be folded along a line so that the two halves match exactly. Rotational symmetry is when a figure appears identical after being rotated by less than a full 360-degree turn around a central point. For exams, it's important to know that questions on line symmetry often require you to draw the lines, while questions on rotational symmetry ask for the angle and order of rotation.
6. How is the concept of symmetry applied in real life, and can important questions be based on this?
Yes, exam questions can definitely be based on real-life applications of symmetry, as it helps test conceptual understanding. The concept is found everywhere:
- Nature: Starfish, snowflakes, and flowers exhibit symmetry.
- Art and Architecture: The Taj Mahal is a perfect example of line symmetry.
- Logos: The logos of brands like Audi or Mercedes-Benz use rotational symmetry.
7. What is a common mistake students make when finding the order of rotational symmetry?
A very common mistake is confusing the number of rotations with the final order. The order of rotational symmetry is the number of times a figure fits perfectly onto itself during one full 360-degree rotation. For example, a square fits onto itself 4 times (at 90°, 180°, 270°, and 360°). Its order is 4. Some students mistakenly state the order as 3, not counting all positions correctly or misunderstanding the definition.
8. Why is it crucial to draw neat, labelled diagrams for questions on symmetry to score full marks?
In geometry, especially in the Symmetry chapter, diagrams are a critical part of the solution. To score full marks, examiners look for:
- Clarity: Neatly drawn lines of symmetry (often represented with dotted lines).
- Accuracy: The centre of rotation must be marked correctly.
- Precision: Shapes must be drawn accurately to reflect the properties mentioned in the question.
9. Can a figure have rotational symmetry but no line of symmetry?
Yes, and this is an important concept for exams. A figure can have rotational symmetry without having any lines of symmetry at all. A classic example is a parallelogram, which has rotational symmetry of order 2 because it looks the same after a 180-degree rotation, but it has no lines of symmetry. Understanding this distinction is key to tackling tricky questions.
