Does It Look The Same Class 5 Notes CBSE Maths Chapter 5 (Free PDF Download)

Symmetry

• Any Object (Shape, letter or number) that can be divided or folded into two equal halves along a straight line is said to show Symmetry.

• One half of the symmetrical shape is the mirror image of the other.

• Example: Here given both the objects look identical on either side of the line drawn through it.

Solved Example 1: Name any two alphabets which possess symmetry?

Ans: Alphabet (A), (H) possess symmetry.

Solved Example 2: Can you give any two real objects which possess symmetry?

Ans: Leaf, Lungs in our body possess symmetry.

Line of Symmetry: 

• The line that divides a figure into two equal halves is called the line of symmetry. 

• When a figure is folded in half along its symmetry line, the two parts perfectly match.

• For example, we have a tree given here, which we may fold/divide into two equal parts.

• The importance of Line of Symmetry is to make a symmetrical figure, we simply draw the mirror image of the given figure along the line of symmetry. 

Solved Example 3: Draw the mirror image of the given figure keeping the line of symmetry in mind.

Ans: Below given figure shows the full image of the above figure. By using the line of Symmetry concept we have drawn the mirror image of the given half which resulted in the full image.

Types of Symmetry: 

• There are two types of symmetry. They are (a) Vertical Symmetry and (b) Horizontal Symmetry

• Vertical Symmetry: A vertical line of symmetry is that line which runs down an image thus dividing it into two identical halves.

• Horizontal Symmetry: A horizontal line of symmetry is that line that runs across the image thus dividing into two identical halves.

• Observing the number of lines of Symmetry: Symmetrical figures can have more than one line of symmetry. The below image shows examples of different number lines of symmetry.

Asymmetric:  

• Any Object (Shape, letter or number) that cannot be divided or folded into two equal halves (or) the two sides of any objects are different when compared is called Asymmetric.

• In Asymmetric one half is not a mirror reflection of the other.

• Check out the below image to see the difference between the Symmetry and Asymmetry.

Image: Symmetric V/s Asymmetric

Combination of Symmetry and Asymmetry: 

• Objects can be both symmetric and asymmetric, which means even though the shape is Symmetric, the colour scheme/any other difference of the figure can make it Asymmetric. 

• For example, here we can observe that with respect to the shape they are symmetric but according to the colour they are asymmetric. 

Image: Combination of Symmetry and Asymmetry: 

Rotation of Shape: 

• When a shape turns clockwise or anticlockwise around a fixed spot the size and the shape itself will remain the same, but its position in space will change.

• Clockwise Direction: It is the same direction as the hands on the clock.

Image: Clockwise Motion

• Anti clock Direction: It is the opposite direction in which the hands of a clock move.

Image: Anti- Clockwise direction

• Half Turn: A rotation by 180 degrees (or) 2 right angles (each right angle is 90 degrees) is known as a half turn.

• Quarter Turn: A rotation by a right angle i.e, 90 degrees is known as a quarter turn. It is also known as the one-fourth Turn.

• The relation between half a turn and a quarter turn is that 2 quarter Turns  = 1 half turn.
  
  

• One-Sixth Turn: When an object rotates either clockwise or anticlockwise from point A to point B then we say that the object completed one-sixth rotation. 

Image: Sixth turn 

Solved Example 4: Write any 5 examples of 5 digit numbers which look the same on half a turn?

Ans: Give below are the examples 5 digit numbers that look the same on half a turn

10001

10801

16091

16891

19061

Solved Example 5: Can you find out the turns in the patterns shown in the figure.

Ans: If you clearly observe the diagram it has done one-fourth turn. We all know one-fourth turn is nothing but 90 degrees rotation. Let's apply one-fourth turn to the given alphabet and observe whether it matches the given image or not.

On applying the one-fourth turn we will get the turns in the below image form.

Hence the answer is one-fourth turn.

Patterns: 

• Patterns are repeated arrangements of shapes, colours and numbers which are arranged while rotating it. We can create patterns by rotating shapes.

• There are different patterns that we can observe in our daily life, For example, floor pattern, wall patterns, design patterns of sarees, dress shirts etc.,

• Rules to Create Patterns: We can make three different rules to turn it clockwise and can create the pattern.

             Rule I: Repeat it with a one-fourth turn

             Rule II: Repeat it with a half-turn

             Rule III: Repeat it with a three-fourth turn.

Practise Problems

1. Which of the following numbers looks the same from right to left as well as from left to right?

a) 1234321

b) 126787261

c) 124321

d) 12312
Answers: (a)

2. How many lines of symmetry do the below figure show?

a) 2

b) 3

c) 6

d) 5

Answers: c

Importance of CBSE Class 5 Maths Chapter 5 Does It Look The Same

• You will be able to recognize different shapes and patterns and their reflections by understanding this chapter. It will teach you how to determine what the shape of an image will become when it is reflected in a mirror. Hence, you will make excellent progress in playing mirror games.

• You will learn how to determine numbers that look the same when they are halved. In this context, numbers with even-digit places will be assigned to check your aptitude.

• Recognize the images of different shapes and objects that will look the same when reflected in a mirror. This chapter focuses on increasing your skills to guess the shapes of different objects and designs.

• Start learning how the images or objects look when they are turned to a certain angle. This chapter teaches how rotating an image will result.

Benefits of Class 5 Maths Solutions PDF Does It Look The Same

• The revision notes and worksheets are designed following the CBSE guidelines for Class 5. These solutions will also help you to define an effective approach to solving the sums correctly and fast.

• You will also be able to make your pattern based on the questions given in the exercises and worksheets. Follow the simple steps framed by our subject experts to solve these questions and determine the question patterns for better exam preparation.

• The easier explanation of images going through half a turn will guide you to determine the resultant shape. Your imagination power will also increase when you use these PDfs to study and practice the sums of this chapter.

Download Revision Notes and Worksheets for NCERT Class 5 Maths Chapter 5

Get the free PDFs of Does It Look The Same Class 5 worksheets and revision notes on Vedantu mobile app and official website. Prepare this chapter using these revision notes before your exam, and solve the worksheets at your convenience. Derive better explanations of the fundamental concepts from the notes and clarify doubts on your own.