CBSE Class 5 Mathematics NCERT Solutions: Does it Look The Same?
CBSE Class 5 Mathematics chapter 'Does it Look The Same?' introduces students to the intriguing world of symmetry and mirror images. This chapter focuses on understanding how shapes can be divided into two equal, identical halves and the concept of a mirror line that creates symmetrical patterns. The NCERT Solutions offer clear, guided explanations for various engaging activities and exercises. These include creating colourful patterns, identifying shapes that are mirror images of each other, and figuring out where to place a mirror to achieve specific symmetrical designs. The solutions aim to help young learners develop a solid grasp of symmetry's core principles, thereby boosting their spatial reasoning and problem-solving abilities. They are a valuable tool for exam preparation, fostering a deeper appreciation for visual patterns and their characteristics, which is essential for building a strong foundation in geometry.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 5 |
| Subject | Mathematics |
| Session | 2026 |
| Language | English |
| Type | NCERT Solutions |
| Chapter | 5 Does it Look The Same |
Chapter summary
Chapter 5, 'Does it Look The Same?', focuses on introducing Class 5 students to the concept of symmetry. The NCERT Solutions cover activities like creating symmetrical patterns using colour blots and identifying lines of symmetry in various shapes. It also includes exercises on understanding how a mirror reflects an image and how to determine the correct placement of a mirror to form a complete shape from its half. The solutions aim to build foundational knowledge in visual symmetry and its applications.
Learning outcomes
- Understand the concept of mirror halves and symmetry.
- Identify shapes that can be divided into two mirror halves.
- Create symmetrical patterns using colour and folding.
- Determine the position of a mirror line for a given shape.
- Recognize how a mirror image relates to the original object.
Topics covered
Paper topics
- Symmetry
- Mirror Images
- Lines of Symmetry
- Pattern Making
- Folding and Cutting
- Reflection
- Identifying Symmetrical Shapes
Important topics
- Understanding Lines of Symmetry
- Creating Mirror Halves
- Mirror Games and Reflection
- Identifying Symmetrical Patterns
PDF preview
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Questions and Solutions
Question 1
Yes, the pattern created by dropping colour on the middle fold of a paper can be cut into two similar mirror halves. This is because the colour is dropped on the fold line, and when the paper is folded again, the colour spreads symmetrically. Therefore, cutting along the original fold line will result in two identical halves that are mirror images of each other. This can only be done in one specific way, which is along the central fold line where the colour was initially placed and spread.
Question 2
To determine which shapes are divided into two mirror halves by the dotted line, we need to check if the dotted line acts as a line of symmetry. A line of symmetry divides a shape into two identical halves that are mirror images of each other. Based on visual inspection of the provided shapes:
The shapes that are divided into two mirror halves by the dotted line are: 1, 2, 4, 5, 6, 7, 8, 10, and 15.
For each of these shapes, if you were to fold the paper along the dotted line, the two halves would perfectly overlap.
Question 3
To obtain shape (b) by placing a mirror on a dotted line, the mirror must be placed on the vertical dotted line shown in the white box. This vertical line acts as the line of symmetry.
When the mirror is placed on this vertical dotted line, the part of the original picture that is on the right side of the dotted line will be hidden from view. The mirror will reflect the left side of the picture, creating the appearance of the complete shape (b).
Question 4
For each of the questions (A, B, and C), a line needs to be drawn on the white box to indicate the position of the mirror that would create the target shape shown next to it. This line represents the line of symmetry.
- For question (A): The line should be drawn vertically down the middle of the white box, dividing the given half-shape into two equal parts.
- For question (B): The line should be drawn horizontally across the middle of the white box, dividing the given half-shape into two equal parts.
- For question (C): The line should be drawn diagonally from one corner to the opposite corner of the white box, dividing the given half-shape into two equal parts.
In each case, the drawn line is the line of symmetry, and placing a mirror on this line would reflect the given half-shape to form the complete target shape.
Question 5
For each of the parts (A) through (E), we need to draw a line on the white box indicating where a mirror should be placed to form the complete red and white shape. This line will be the line of symmetry.
- For part (A): A vertical line should be drawn in the middle of the white box.
- For part (B): A horizontal line should be drawn in the middle of the white box.
- For part (C): A vertical line should be drawn in the middle of the white box.
- For part (D): A horizontal line should be drawn in the middle of the white box.
- For part (E): A vertical line should be drawn in the middle of the white box.
In each case, the drawn line acts as the mirror line. When a mirror is placed on this line, the reflection of the visible part completes the shape as shown.
Common mistakes
- Confusing lines of symmetry with other lines within a shape.
- Incorrectly identifying which shapes have mirror halves.
- Difficulty in visualizing the placement of a mirror to complete a shape.
- Not understanding that the mirror line divides the shape into two identical, reflected parts.
Revision tips
- Practice drawing lines of symmetry on various objects around you.
- Use a small mirror to check for symmetry in different shapes and pictures.
- Recreate the colour blot patterns to physically experience symmetry.
- Focus on understanding the concept of reflection for mirror images.
Practice MCQs
Q1. What is the primary concept explored in the 'Does it Look The Same?' chapter?
Explanation: The chapter focuses on understanding how shapes can be divided into identical halves and how mirrors create reflections, which are key aspects of symmetry and mirror images.
Q2. When a pattern is made by folding paper and dropping colour, how many ways can it be cut into two similar mirror halves?
Explanation: The colour blot pattern, when folded along the middle line, can only be cut into two similar mirror halves along that specific fold line.
Q3. Which of the following is NOT typically divided into two mirror halves by a dotted line in the exercises?
Explanation: While irregular shapes can sometimes have lines of symmetry, the exercises focus on common shapes and patterns that clearly demonstrate symmetry. Irregular blobs are less likely to be perfectly symmetrical.
Q4. If you place a mirror on a dotted line, what does the reflection show?
Explanation: When a mirror is placed on the line of symmetry, the reflection seen in the mirror forms the other half of the original shape, making the complete figure appear symmetrical.
Q5. In mirror games, what does the dotted line represent?
Explanation: The dotted line in the mirror games exercises indicates where the mirror should be placed to create a symmetrical image or to complete a shape.
Frequently asked questions
What is the main goal of the 'Does it Look The Same?' chapter in Class 5 Maths?
The main goal is to introduce students to the concept of symmetry and mirror images, helping them understand how shapes can be divided into identical halves and how reflections work.
How do the NCERT Solutions help students understand symmetry?
The solutions provide clear, step-by-step explanations for each exercise, breaking down complex ideas like creating patterns and identifying mirror lines into manageable steps.
What are 'mirror halves'?
Mirror halves are two parts of a shape that are identical and can be superimposed on each other perfectly. They are formed when a shape is divided by a line of symmetry.
What is the role of the dotted line in the 'Mirror Games' section?
The dotted line represents the line of symmetry or the position where a mirror should be placed to create a complete, symmetrical shape from its given half.
Can I use these solutions to practice for exams?
Yes, these solutions are designed for exam revision. They offer a clear understanding of the concepts and methods required to solve problems related to symmetry and mirror images.
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