Concise Mathematics Class 6 ICSE Solutions for Chapter 30 - Revision Exercise Symmetry (Including Constructions on Symmetry)
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For the comprehensive knowledge of the concepts based on Symmetry, students can download and refer to the Selina Concise Mathematics ICSE Solutions For Class 6 Chapter 30 - Revision Exercise Symmetry (Including Construction on Symmetry) from the PDF link given here.
Class 6 Chapter 30 includes questions that are based on symmetry. Regular practice of the questions given in revision exercise helps the students to strengthen their knowledge of the concepts covered in this chapter, which is necessary from the exam perspective. They can also refer to these solutions for verifying the answers and understanding the appropriate techniques for solving the sums.
Students need to develop an understanding of the concepts of symmetry from Class 6 itself. The solutions given in the revision exercise symmetry cover the detailed explanation to improve the analytical skills and conceptual understanding of students, so they do not blindly memorize the concepts. Moreover, the solutions given in the chapter are appropriately solved to help students attain a good grip on important and complex concepts easily. Further, the stepwise approach to solving the sums helps students to work out the sums effectively.
Immediately After Learning the of Topic Symmetry - Practicing the questions given in the revision exercise helps you to remember the important concepts and formulas related to the chapter once more which enhances your power of retention.
At the Time of Solving Questions for Practice - Referring to the questions given in the revision exercise helps the students to develop a strong base of the difficult concepts. The stepwise explanation of the solutions will help students to solve all types of problems in the examination.
Just before the Mathematics exam or class test - Practicing the questions from the Maths revision exercises takes less time. The questions given in the revision exercise symmetry will help the students of class 6 to cover all the topics in chapter 30 effectively.
Let us now discuss some basic concepts of Symmetry.
In Mathematics, one shape is exactly similar to the other shape when it is either flipped, moved, or rotated. For example, when you are being asked to cut out a heart drawn on a piece of paper, don’t you just wrap the paper, draw one half of the heart at the fold, and cut it to find that the other half of the heart that matches exactly the first half of the heart. The two identical parts of this heart-shaped paper cut-out is an example of symmetry. The definition of symmetry states that “symmetry is a mirror image”. If the image looks exactly the same when it is turned or flipped, then it is known as symmetry.
The imaginary line or axis along which you wrap a figure to get the symmetrical halves is known as the line of symmetry. The line of symmetry is also termed as the axis of symmetry. The line of symmetry is also termed a mirror line because it has two reflections of a shape meeting at it. Hence, the line of symmetry is a type of mirror. Line of symmetry divides an object into two halves. There can be either one or more than one line of symmetry. Practically, a shape may have:
No line of symmetry.
An infinite line of symmetry.
One line of symmetry.
Two lines of symmetry.
Multiple (or more than two) lines of symmetry.
A line of symmetry divides the object into two halves. An object can have one or more than one line of symmetry,
Look at the square below. How many lines of symmetry can you see?
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We can see 4 lines of symmetry in the square.
Look at the rectangle below. Does the rectangle have the same number of lines of symmetry as square? Remember, the line of symmetry divides a figure into two halves so that each piece looks exactly the same. You can see that a rectangle has fewer lines of symmetry. Can you think of a direction in which the line of symmetry cannot proceed further?
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A rectangle cannot have a diagonal line of symmetry like a square because the sides of the rectangle are not of equal length. If the rectangle is folded diagonally so that vertex A meets vertex D, the sides would not match. You can try this with a piece of paper.
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Covers the important examination questions.
Stepwise solutions to all the sums given in the revision exercise are available.
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The solutions are worked-out as per the latest ICSE guidelines.
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