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Concise Mathematics Class 7 ICSE Solutions for Chapter 17 - Symmetry

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Last updated date: 25th Apr 2024
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ICSE Class 7 Mathematics Chapter 17 Selina Concise Solutions - Free PDF Download

Updated ICSE Class 7 Mathematics Chapter 17 - Symmetry Selina Solutions are provided by Vedantu in a step-by-step method. Selina is the most famous publisher of ICSE textbooks. Studying these solutions by Selina Concise Mathematics Class 7 Solutions which are explained and solved by our subject matter experts will help you in preparing for ICSE exams. Concise Mathematics Class 7 ICSE Solutions can be easily downloaded in the given PDF format. These solutions for Class 7 ICSE will help you to score good marks in ICSE Exams 2019-20.

 

The updated solutions for Selina textbooks are created in accordance with the latest syllabus. These are provided by Vedantu in a chapter-wise manner to help the students get a thorough knowledge of all the fundamentals.

ICSE Class 7 Mathematics Chapter 17 Selina Concise Solutions

Mathematically, symmetry means that when one shape is moved, rotated, or flipped, it becomes exactly like the other shape. As an example, if you are asked to cut a triangle from a piece of paper, don't you just fold the paper in half, draw one-half of it at the fold, then cut it out to discover that the other half matches the first half accurately? This triangle carving demonstrates symmetry. Symmetry is the mirror image of itself. Whenever the shape of an image appears the same as the original image after the shape has been turned or flipped, it is called symmetry. Symmetry can be seen in patterns and everyday life. 

 

Line of Symmetry

Basically, it is a line that divides a picture in half. The line can be horizontal, vertical, or diagonal and a figure can have one or more symmetrical lines.

 

Types of Symmetry

There are two types of symmetry:

  1. Reflection Symmetry

Mirror reflection symmetry can be represented by a dotted line that gives the mirror reflection of the other half of the image. The same applies to basic symmetry, which states that if the dotted line divides an image into two equal halves, it is called reflective symmetry.

  1. Rotational Symmetry

The number of times the image looks the same when rotated 360° can be used to demonstrate rotational symmetry. While rotating, we take the measurement of the angle which we take. And a complete rotation is 360°. If the angle of rotation is 180°, then that point is called the center of rotation. A figure can rotate either clockwise or anticlockwise.

FAQs on Concise Mathematics Class 7 ICSE Solutions for Chapter 17 - Symmetry

1. According to Chapter 17 of ICSE Class 7 Maths, what is Symmetry with an example? Can a line of Symmetry be Parallel?

In the study of reflections of images, it is most commonly known as a mirror or reflective symmetry, the concept of drawing a line through an object so that the two halves are mirror images of each other. Not all lines that divide an object into two contradictory halves are lines of symmetry. However, if we were to be creative and draw the line parallel to the shape's other side, the fold would not coincide with the line of symmetry.

2. After reading Chapter 17 of class 7 Maths in ICSE, what are the four types of Symmetry that a student will learn?

1. Transnational Symmetry - Translational symmetry is the motion of an object from one position to another while maintaining the same orientation. In other words, it is defined as the movement around an axis. 


2. Rotational Symmetry - In rotational symmetry, an object is rotated around a point and its shape is the same as the origin. Radial symmetry exists when an object is rotated in a particular direction around a point. 


3. Reflexive Symmetry - An example of reflection symmetry is where one half of the object reflects the other half. It is also called mirror symmetry or line of symmetry. 

 

4. Glide Symmetry - The glide reflection is made up of both translation and reflection transformations. The glide reflection is commutative, so changing its order will not change the result.

3. How to Prepare for Chapter-17 Symmetry for ICSE Class 7? 

Symmetry is one of the important chapters of ICSE Class 7 mathematics, it contains the highest weightage in exams, thus requiring more hard work and consistency.  When it comes to preparing the symmetry chapter, you need to make sure you are well aware of the basic concepts such as line of symmetry, types of symmetry and apply logic into the answers. The questions asked in the exams will entirely depend upon drawing the line of symmetry, ask you to identify the type of symmetry and the line of symmetry in rhombus, triangle and rectangle. After completing the syllabus you can also refer to Vedantu’s important questions and sample papers, for practice and revision. 

4. How do Symmetry Solutions help you score well in ICSE Class 7 Exams?

Symmetry solutions are explained in detail by our subject matter experts of maths, this will help you have a clear understanding of the chapter.

  • We have provided solutions to each and every question given in ICSE class 7 mathematics textbook. This will help you get prepared for all the concepts. 

  • The solution to every question is explained in the easiest way possible so that the students will grasp the concept easily which further helps them obtain good marks in exams. 

5. According to ICSE Class 7 Chapter 17 of Maths, what are the Lines of Symmetry in Rhombus? How are Rhombus Lines of Symmetry Different from Square Lines of Symmetry?

A rhombus has two symmetry lines that divide it into two parts that are identical. The symmetry lines are both from their diagonals. Thus, one can say that the diagonals are a rhombus' symmetry lines. Rhombuses are two-dimensional geometric figures whose all sides are the same. Unlike squares, however, their angles are not 90 degrees. This results in a different number of symmetry lines between squares and rhombuses.