Last Updated on May 4, 2025 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 5 Parallel and Intersecting Lines.
| Chapter | Parallel and Intersecting Lines |
| Book | Ganita Prakash for Grade 7 |
| 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 Parallel and Intersecting Lines
Case Study Question 1
Passage: Intersecting Lines and Angle Relationships
Shanaya was folding paper to make art decorations. She folded one sheet diagonally and noticed that two lines intersected forming four angles. She observed that if one angle was 120°, she could find the rest without using a protractor, just by logic. Her brother asked her how she knew that opposite angles were equal.
Q1. When two lines intersect and one of the angles is 120°, what will be its vertically opposite angle?
(a) 60°
(b) 90°
(c) 120°
(d) 180°
Answer: (c)
Difficulty Level: Easy
Explanation: Vertically opposite angles are always equal.
Q2. What will be the measure of the angle adjacent to the 120° angle?
(a) 90°
(b) 120°
(c) 60°
(d) 30°
Answer: (c)
Difficulty Level: Easy
Explanation: Adjacent angles on a straight line form a linear pair and add up to 180°. So, 180° – 120° = 60°.
Q3. What do we call two angles that are adjacent and add up to 180°?
(a) Supplementary angles
(b) Linear pair
(c) Complementary angles
(d) Vertically opposite angles
Answer: (b)
Difficulty Level: Moderate
Explanation: When two adjacent angles add up to 180°, they form a linear pair.
Q4. Which of the following is always true for any pair of intersecting lines?
(a) All angles formed are equal
(b) All angles are 90°
(c) Vertically opposite angles are equal
(d) Adjacent angles are equal
Answer: (c)
Difficulty Level: Moderate
Explanation: Vertically opposite angles are always equal when two lines intersect.
Case Study Question 2
Passage: Parallel Lines and Transversals
Mira was using tracing paper to study how angles behave when a line crosses two others. Her teacher asked her to check whether two lines were parallel by checking the corresponding angles. She measured angle ∠1 as 60° and found its corresponding angle ∠5 was also 60°.
Q1. If corresponding angles formed by a transversal are equal, what can we conclude about the lines it intersects?
(a) The lines are perpendicular
(b) The lines are intersecting
(c) The lines are parallel
(d) The lines are curved
Answer: (c)
Difficulty Level: Easy
Explanation: Equal corresponding angles imply the lines are parallel.
Q2. What is the sum of interior angles on the same side of the transversal in parallel lines?
(a) 180°
(b) 90°
(c) 120°
(d) 60°
Answer: (a)
Difficulty Level: Moderate
Explanation: Interior angles on the same side of the transversal add up to 180°.
Q3. If ∠3 is 50°, what is the value of its alternate angle ∠6 when the lines are parallel?
(a) 90°
(b) 60°
(c) 50°
(d) 130°
Answer: (c)
Difficulty Level: Moderate
Explanation: Alternate angles are equal when the lines are parallel.
Q4. A transversal intersects two lines. One corresponding angle is 80° and another is 100°. Are the lines parallel?
(a) Yes
(b) No
(c) Only if other angles are equal
(d) Can’t say
Answer: (b)
Difficulty Level: Moderate
Explanation: Corresponding angles must be equal for the lines to be parallel. Here, 80° ≠100°.
We hope the given case study questions for Parallel and Intersecting Lines Class 7 helps you in your learning.
Also check
- Ganita Prakash Class 7 Maths Chapter 8 Working with Fractions Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 7 A Tale of Three Intersecting Lines Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 6 Number Play Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 5 Parallel and Intersecting Lines Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 4 Expressions using Letter-Numbers Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 3 A Peek Beyond the Point Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 2 Arithmetic Expressions Case Study Questions
- Ganita Prakash Class 7 Maths Chapter 1 Large Numbers Around Us Case Study Questions
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Topics from which case study questions may be asked
- Identifying lines
- Drawing parallel and intersecting lines
- Use of geometric tools
Parallel lines never meet, no matter how far they are extended.
Frequently Asked Questions (FAQs) on Parallel and Intersecting Lines Case Study Questions
Q1: What is Ganita Prakash for Class 7 Maths?
A1: Ganita Prakash is the newly released NCERT textbook for Class 7 Mathematics, designed as per the National Education Policy (NEP) 2020. It promotes logical reasoning, activity-based learning, and real-life application of maths concepts.
Q2: How can I prepare for Class 7 Maths Case Study questions effectively?
A2: Practice chapterwise questions regularly, focus on understanding concepts, and review explanations for each answer. Solving a variety of moderate to tough level questions is key to mastering this format.
Q3: Are the Case Study questions based on the Ganita Prakash chapters?
A3: Yes, all questions are created strictly based on the topics and themes covered in the Ganita Prakash Class 7 Maths textbook to ensure alignment with the NCERT curriculum.
Q4: Where can I find chapterwise Case Study questions for Class 7 Maths?
A4: You can find them for free on xamcontent.com, organized by chapter and difficulty level, along with answers and explanations.
