The latest CBSE Class 7 Mathematics textbook, titled “Ganita Prakash”, has been introduced by NCERT in alignment with the National Education Policy (NEP) 2020. This new learner-friendly book focuses on promoting conceptual understanding, critical thinking, and application-based learning in mathematics.
To help students master the new exam pattern, we are providing chapterwise Assertion Reason Questions for CBSE Class 7 Maths based on the Ganita Prakash textbook. These questions are framed as per the competency-based education (CBE) guidelines, ensuring that students develop deep mathematical reasoning, logical thinking, and analytical skills.
| Chapter | A Tale of Three Intersecting Lines |
| Book | Ganita Prakash: Textbook of Mathematics |
| Type of Questions | Assertion Reason 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 Assertion Reason |
Assertion Reason Questions on A Tale of Three Intersecting Lines
Assertion Reason Questions
Directions:
Each of the following questions consists of two statements – an Assertion (A) and a Reason (R). Choose the correct option:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false and R is also false.
Q1. Assertion (A): A triangle cannot be formed with side lengths 5 cm, 5 cm, and 12 cm.
Reason (R): A triangle exists only when the sum of any two sides is greater than the third side.
Answer: (a) Both A and R are true and R is the correct explanation of A.
Explanation: 5 + 5 = 10, which is less than 12; hence, triangle inequality fails.
Difficulty Level: Conceptual
Q2. Assertion (A): All three altitudes of a triangle intersect at a single point called the orthocentre.
Reason (R): The point of concurrency of medians is the orthocentre.
Answer: (c) A is true but R is false.
Explanation: The medians intersect at the centroid, not the orthocentre.
Difficulty Level: HOTS
Q3. Assertion (A): A triangle with angles 70°, 70°, and 70° can exist.
Reason (R): The sum of all angles in a triangle must be 180°.
Answer: (c) A is false but R is true.
Explanation: 70° + 70° + 70° = 210°, which violates the angle sum property.
Difficulty Level: Tough
Q4. Assertion (A): A triangle with side lengths 4 cm, 5 cm, and 8 cm exists.
Reason (R): The sum of the two smaller sides (4 + 5 = 9) is greater than the third side (8 cm).
Answer: (a) Both A and R are true and R is the correct explanation of A.
Explanation: Satisfies the triangle inequality; hence triangle is possible.
Difficulty Level: Moderate
Q5. Assertion (A): A triangle can be formed with two angles measuring 90° and 100°.
Reason (R): In any triangle, the sum of any two angles must be less than 180°.
Answer: (d) A is false and R is also false.
Explanation: The total angle sum in a triangle must be exactly 180°, not less.
Difficulty Level: Conceptual
Also check
- Ganita Prakash Class 7 Maths Chapter 8 Working with Fractions Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 7 A Tale of Three Intersecting Lines Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 6 Number Play Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 5 Parallel and Intersecting Lines Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 4 Expressions using Letter-Numbers Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 3 A Peek Beyond the Point Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 2 Arithmetic Expressions Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 1 Large Numbers Around Us Assertion Reason Questions
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Topics from which assertion reason questions may be asked
- Angles formed by intersecting lines
- Transversals and corresponding angles
- Understanding triangle angle sum property
Understanding how lines meet and form angles opens up the world of geometry.
Frequently Asked Questions (FAQs) on A Tale of Three Intersecting Lines Assertion Reason 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: What are Assertion Reason questions in CBSE Class 7 Maths?
A2: Assertion Reason questions consist of two related statements – an Assertion (A) and a Reason (R). Students must analyze both statements and determine if they are correct and whether the reason explains the assertion logically.
Q3: Why are Assertion Reason questions important in Maths?
A3: These questions help students develop critical thinking and deep conceptual clarity. They are aligned with the competency-based format introduced by CBSE and help assess logical reasoning beyond memorization.
Q4: Are Assertion Reason questions part of the new CBSE Class 7 exam pattern?
A4: Yes, CBSE has included assertion reason, case study, and competency-based questions in the latest exam format. These assess students’ understanding and application of concepts in various scenarios.
Q5: How can I prepare for Class 7 Maths Assertion Reason questions effectively?
A5: 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.
Q6: Are the Assertion Reason questions based on the Ganita Prakash chapters?
A6: 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.
Q7: Where can I find chapterwise Assertion Reason questions for Class 7 Maths?
A7: You can find them for free on xamcontent.com, organized by chapter and difficulty level, along with answers and explanations.
