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RD Sharma Solutions Class 6 Maths Chapter 17 Symmetry
By Maitree Choube
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Updated on 11 Jun 2025, 18:13 IST
RD Sharma Solutions Class 6 Maths Symmetry: RD Sharma Solutions for Class 6 Maths Chapter 17 – Symmetry offer a clear and student-friendly introduction to one of the most fascinating topics in geometry. Symmetry refers to a balanced and proportionate similarity found in two halves of an object, meaning one side is the mirror image of the other. This chapter helps students understand the concept of line of symmetry, which is the imaginary line that divides a shape into two identical parts.
The RD Sharma textbook explains symmetry with simple visuals, shapes, and real-life examples, making it easier for Class 6 students to grasp the idea. With the help of step-by-step RD Sharma solutions, students can solve textbook questions confidently and revise important concepts quickly. The RD Sharma Solutions for Class 6 Maths solutions are available in PDF format, making them easy to access and perfect for offline practice.
RD Sharma Solutions Class 6 Maths Chapter 17 Symmetry
Symmetry plays a major role not only in basic geometry but also in advanced topics studied in higher classes like reflection, transformations, and design patterns. Understanding symmetry early builds a strong foundation for CBSE Class 7 and Class 8 geometry, and even helps in subjects like art, architecture, and biology where symmetrical patterns are widely observed.
Using RD Sharma Solutions Class 6 Chapter 17 PDF, students can:
- Identify symmetrical figures
- Draw lines of symmetry
- Understand the role of symmetry in daily life
- Improve accuracy in geometry-based problems
Also Check: NCERT Solutions for Class 6 Maths Chapter 17 Symmetry
RD Sharma Solution for Class 6 Chapter 17 - Download PDF
RD Sharma Solution for Class 6 Chapter 17 PDF is now available for students who want to strengthen their understanding of geometry. This easy-to-access PDF version is specially designed to help students practice the concepts of angles effectively.
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We’ve provided the RD Sharma Class 6 Chapter 17 Questions in PDF format right here, so students can download the PDF for free and use it anytime—online or offline. This makes revision super convenient, especially during last-minute exam preparation. The PDF contains all textbook questions solved in a clear and simple manner, perfect for regular practice and doubt-solving.
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RD Sharma Solutions Class 6 Maths Chapter 17 Symmetry - Objective Type
1. Which of the following figures has more than one line of symmetry?
A) Scalene triangle
B) Square
C) Rectangle
D) Parallelogram
Answer: B) Square
2. How many lines of symmetry does an equilateral triangle have?
A) 2
B) 1
C) 3
D) 0
Answer: C) 3
3. Which English alphabet has only one line of symmetry?
A) A
B) B
C) E
D) G
Answer: A) A
4. A line of symmetry divides a figure into:
A) Two unequal parts
B) Random sections
C) Two identical parts
D) Three equal parts
Answer: C) Two identical parts
5. Which of these shapes has no line of symmetry?
A) Circle
B) Isosceles triangle
C) Rectangle
D) Scalene triangle
Answer: D) Scalene triangle
6. What is the maximum number of lines of symmetry a regular hexagon can have?
A) 3
B) 6
C) 4
D) 2
Answer: B) 6
7. A circle has how many lines of symmetry?
A) 0
B) 1
C) 2
D) Infinite
Answer: D) Infinite
8. The shape of a butterfly is symmetric about:
A) A horizontal line
B) A vertical line
C) A diagonal line
D) No line
Answer: B) A vertical line
9. Which letter has both vertical and horizontal lines of symmetry?
A) H
B) T
C) F
D) L
Answer: A) H
10. What is the line of symmetry in geometry?
A) A curved line through a figure
B) A line dividing the shape into two similar parts
C) A line that touches only one point of a circle
D) A line forming a triangle
Answer: B) A line dividing the shape into two similar parts
11. Which of these objects is symmetric?
A) A mango
B) A human face (front view)
C) A hammer
D) A needle
Answer: B) A human face (front view)
12. In how many ways can a regular pentagon be divided into symmetrical halves?
A) 2
B) 3
C) 5
D) 6
Answer: C) 5
13. Which triangle has only one line of symmetry?
A) Scalene
B) Equilateral
C) Right-angled
D) Isosceles
Answer: D) Isosceles
14. If a figure has only one line of symmetry, which of the following could it be?
A) Circle
B) Isosceles triangle
C) Square
D) Rectangle
Answer: B) Isosceles triangle
15. Which of these shapes has exactly two lines of symmetry?
A) Kite
B) Square
C) Rectangle
D) Rhombus
Answer: C) Rectangle
Advanced Symmetry-Based Questions with Answers
- Identify and draw all possible lines of symmetry in a regular octagon. Justify your answer.
Answer: A regular octagon has 8 lines of symmetry — 4 lines pass through opposite vertices and 4 through midpoints of opposite sides. This is due to its equal sides and angles. - A rectangle has two lines of symmetry. If the shape is rotated 90°, does the number of lines of symmetry change?
Answer: No, the number of lines of symmetry remains 2. Rotation does not affect the symmetrical properties of the shape. - A heart-shaped figure is symmetric about a vertical line only. Can this shape have rotational symmetry?
Answer: No, typical heart shapes have only vertical line symmetry and no rotational symmetry, as they don't match themselves upon rotation. - An equilateral triangle and a regular hexagon are placed adjacent. Find total lines of symmetry in the combined figure.
Answer: The combined figure loses individual symmetry unless perfectly aligned. In most cases, the figure may not retain any symmetry, unless arranged in a symmetric pattern. - Compare the lines of symmetry in a rhombus and a kite.
Answer: A rhombus has 2 lines of symmetry (diagonals), while a kite typically has 1 line of symmetry (through the pair of equal sides). Thus, rhombus has more symmetrical balance. - Given an irregular pentagon, describe how to determine if it has a line of symmetry.
Answer: Fold the shape along assumed axes or use tracing paper to check if both halves overlap exactly. If no fold aligns halves perfectly, it has no symmetry. - A circle has infinite symmetry. If one diameter is drawn, how many lines of symmetry pass through it?
Answer: Only 1 visible line of symmetry (the diameter itself), although infinitely many lines exist through the center. - Two identical right-angled triangles are placed symmetrically. How to find the line of symmetry?
Answer: If they are placed mirror-imaged along the hypotenuse or vertical edge, the line of symmetry lies between them, perpendicular to the side of contact. - Square and equilateral triangle share a side. Find symmetry of combined shape.
Answer: If centered, the figure has only one vertical line of symmetry. Irregular attachment will break symmetry. - A student claims a parallelogram has two lines of symmetry. Prove/disprove.
Answer: False. A generic parallelogram has no line of symmetry. Only special cases like a rhombus or rectangle have lines of symmetry. - If you fold a regular hexagon through one diagonal, do the halves match?
Answer: Yes, because a regular hexagon has 6 lines of symmetry—3 through opposite vertices and 3 through midpoints of opposite sides. - If a regular polygon has 12 lines of symmetry, how many sides does it have?
Answer: It must be a regular 12-sided polygon (dodecagon). A regular n-gon has n lines of symmetry. - Create a symmetric shape with two straight lines. How many lines of symmetry does it have?
Answer: A plus sign (+) formed by two perpendicular lines has 4 lines of symmetry — 2 along the arms, 2 diagonals. - Identify two figures with both line and rotational symmetry.
Answer:
- Square – 4 lines of symmetry, rotational symmetry of 90°.
- Regular hexagon – 6 lines of symmetry, rotational symmetry of 60°.
- Design a flag using shapes to show only vertical symmetry. Describe shape placement.
Answer: Place a circle in the center, mirror two triangles on left and right pointing inward. The design must be mirrored vertically only. Thus, it has one vertical line of symmetry.
RD Sharma Solutions Class 6 Maths Chapter 17 Symmetry FAQs
Q1. What is symmetry in mathematics according to RD Sharma Class 6 Chapter 17?
In RD Sharma Class 6 Maths Chapter 17, symmetry refers to the balanced and proportionate arrangement of parts on opposite sides of a line, known as the line of symmetry. A figure is said to be symmetrical if it can be divided into two identical halves by this line.
How many lines of symmetry can a regular polygon have?
A regular polygon has as many lines of symmetry as it has sides. For example, a regular hexagon has 6 lines of symmetry, and an equilateral triangle has 3. These concepts are clearly explained with illustrations in RD Sharma Solutions Class 6 Chapter 17.
Why are RD Sharma Solutions for Chapter 17 important for Class 6 students?
RD Sharma Solutions Class 6 Chapter 17 provide step-by-step explanations, helping students understand symmetry easily. They are great for CBSE exam preparation, homework help, and concept clarity, especially in geometry.
Where can I download the RD Sharma Solutions for Class 6 Chapter 17 PDF?
You can download the RD Sharma Class 6 Maths Chapter 17 Symmetry PDF from Infinity Learn. These PDF solutions are useful for offline practice, quick revisions, and understanding each exercise with detailed solutions.
What are some examples of symmetrical figures discussed in Chapter 17?
Some common symmetrical figures discussed include squares, circles, equilateral triangles, rectangles, and alphabets like A, H, and M. The solutions explain how to find and draw the line of symmetry in each.