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 | Parallel and 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 Parallel and 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): If two lines intersect and form four equal angles, then each angle is 90°.
Reason (R): Lines intersecting at right angles are called perpendicular lines.
Answer: (a) Both A and R are true and R is the correct explanation of A.
Explanation: Four equal angles must each be 90°, and this defines perpendicularity.
Difficulty Level: Moderate
Q2. Assertion (A): Vertically opposite angles are always equal when two lines intersect.
Reason (R): This happens because adjacent angles in a straight line always add up to 90°.
Answer: (c) A is true but R is false.
Explanation: Adjacent angles form a linear pair and add up to 180°, not 90°.
Difficulty Level: Conceptual
Q3. Assertion (A): When a transversal intersects two parallel lines, corresponding angles are equal.
Reason (R): Equal corresponding angles are a characteristic feature of parallel lines.
Answer: (a) Both A and R are true and R is the correct explanation of A.
Explanation: This is a key property used to determine parallelism.
Difficulty Level: Conceptual (High Order Thinking Skill)
Q4. Assertion (A): If ∠3 = 50° and ∠6 = 130°, the two lines cut by the transversal are parallel.
Reason (R): Alternate interior angles must be supplementary for lines to be parallel.
Answer: (b) Both A and R are true but R is not the correct explanation of A.
Explanation: Here, ∠3 and ∠6 are interior angles on the same side, not alternate.
Difficulty Level: Tough
Q5. Assertion (A): Two lines that do not intersect on a plane are always perpendicular.
Reason (R): Parallel lines never meet, hence they form 90° angles with each other.
Answer: (d) A is false and R is also false.
Explanation: Non-intersecting lines on the same plane are parallel, not perpendicular, and they do not form any angles with each other.
Difficulty Level: Moderate
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
- Understanding parallel lines
- Intersecting and perpendicular lines
- Applications in geometry
Parallel and intersecting lines form the building blocks of shapes and structures.
Frequently Asked Questions (FAQs) on Parallel and 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.
