Last Updated on September 8, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 7 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 12 Symmetry. It is a part of Case Study Questions for CBSE Class 7 Maths Series.

Chapter | Symmetry |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 7 |

Subject | Maths |

Useful for | Class 7 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 7 Maths Chapterwise Case Study |

### Case Study Questions on Symmetry

**Questions**

**Passage 1: **

The picture shows a girl and her reflection in a mirror.

** Difficulty Level:** Medium

Q. 1. Can you draw a line of symmetry on this picture? Mention Yes or No. Justify your choice.

Ans. No, there is no fixed line which divides the figure into two identical parts.

Q. 2. The girl has her right hand raised. Why does it look like her left hand in the mirror image?

Ans. The girl has her right hand raised. It looks like her left hand in the mirror image because in mirror reflection, left-right orientation changes.

Q. 3. Points P, Q, R and S are marked on the girl and their mirror reflections Pâ€™, Qâ€™, Râ€™ and Sâ€™ are marked on the image. Which point and its image in the mirror have the greatest distance between them?

(a) P and Q

(b) Q and Q’

(c) R and R’

(d) P’ and S’

Ans. Option (c) is correct.

Explanation: It is so because the distance of point R is maximum from the mirror.

Q. 4. Which type of symmetry does the picture show?

(a) Line symmetry

(b) Point symmetry

(c) Rotation symmetry

(d) Reflection symmetry

Ans. Option (d) is correct.

Explanation: Reflection symmetry

Q. 5. In the above picture, XYZW is a mirror. Why does it produce a symmetric image? Give your explanation using the points shown in the image.

Ans. It produces a symmetric image because

(1) The distance between a point on the object and a point on its image is the same from the mirror surface.

(2) mirrors produce point symmetry across its plane.

### Also check

- Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
- Symmetry Class 7 Case Study Questions Maths Chapter 12
- Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
- Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
- Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
- Rational Numbers Class 7 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
- Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
- Lines and Angles Class 7 Case Study Questions Maths Chapter 5
- Simple Equations Class 7 Case Study Questions Maths Chapter 4
- Data Handling Class 7 Case Study Questions Maths Chapter 3
- Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
- IntegersÂ Class 7 Case Study Questions Maths Chapter 1

### Topics from which case study questions may be asked

- Lines of symmetry for regular
- polygons
- Rotational symmetry
- Line symmetry

A figure is symmetrical about the line which divides the figure into two identical parts. The line which divides the figure into two identical parts is called the line of symmetry or mirror line.

Regular polygons have as many lines of symmetry as they have sides.

Case study questions from the above given topic may be asked.

Exponents are also called Powers or Indices.

The exponent says how many times to use the number in a multiplication.

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### Frequently Asked Questions (FAQs) on Symmetry Case Study

#### Q1: What is symmetry?

A1: Symmetry refers to a balanced and proportionate similarity between two halves of an object. An object is said to be symmetric if it can be divided into two or more identical parts that are mirror images of each other.

#### Q2: What are the different types of symmetry?

A2: There are three main types of symmetry:**Line symmetry**: When an object can be divided into two identical halves by a line.**Rotational symmetry**: When an object looks the same after a certain amount of rotation.**Point symmetry**: When every part of an object has a matching part at an equal distance from a central point.

#### Q3: What is line symmetry?

A3: Line symmetry occurs when an object can be divided into two identical halves by a straight line. The line is called the line of symmetry or axis of symmetry. For example, a square has four lines of symmetry.

#### Q4: How many lines of symmetry does a circle have?

A4: A circle has an infinite number of lines of symmetry because it can be divided into identical halves by any line passing through its center.

#### Q5: What is rotational symmetry?

A5: Rotational symmetry occurs when an object looks the same after being rotated by a certain angle around a central point. For example, a regular pentagon has rotational symmetry because it looks the same after a rotation of 72^{0}.

#### Q6: **What is the angle of rotation?**

A6: The angle of rotation is the smallest angle by which an object can be rotated to look exactly the same as its original position. For example, the angle of rotation of an equilateral triangle is 12^{0}.

#### Q7: **Can an object have both line and rotational symmetry?**

A7: Yes, an object can have both line and rotational symmetry. For example, a square has four lines of symmetry and also has rotational symmetry of order 4.

#### Q10: **Are there any online resources or tools available for practicing Symmetry** **case study questions?**

A10: We provide case study questions for CBSE Class 7 Maths on ourÂ website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.

#### Q11: How do you find the line of symmetry of a shape?

A11: To find the line of symmetry of a shape, try dividing the shape into two identical halves. If the halves are mirror images of each other, the line along which the division is made is the line of symmetry.