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Class 7 Maths Chapter 5: Parallel and Intersecting Lines NCERT Solutions

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How to Write Stepwise Answers & Diagrams for Parallel and Intersecting Lines

Struggling to understand lines and points? Our NCERT Solutions for Class 7 Maths Chapter 5 Parallel and Intersecting Lines bring every exercise to life with simple, exam-focused explanations. Get ready to boost your confidence as you cover each topic clearly, step by step!


Learn how to write stepwise answers that align with the CBSE marking scheme, supported by neat diagrams and easy definitions. Download the free Class 7 Maths Chapter 5 Solutions PDF, perfect for last-minute revision and practice before your exams.


Whether you're looking for exercise-wise solutions, worksheet practice, or quick notes, everything here is teacher-reviewed and ideal for the 2025–26 CBSE syllabus. Start learning efficiently and watch your marks improve with every attempt!


How to Write Stepwise Answers & Diagrams for Parallel and Intersecting Lines

NCERT Solutions for Class 7 Maths Chapter 5 Parallel and Intersecting Lines (2025-26)

1. Multiple choice questions.


1. If two lines are parallel, they:


  • (a) intersect at one point
  • (b) intersect at two points
  • (c) never intersect
  • (d) can be curved lines

Answer: (c) never intersect.


2. Answer the following questions in about 30 words.


1. What are vertically opposite angles? State their properties.


Answer: Vertically opposite angles are formed when two lines intersect. The pairs of angles opposite each other are called vertically opposite angles. They are always equal in measure.


3. Answer the following questions in about 150 words.


1. Explain, with illustration, the concept of corresponding and alternate angles formed by a transversal on parallel lines.


Answer: When a transversal cuts two parallel lines, it forms several angles. Angles that are on the same side of the transversal and at corresponding positions (like the top right at each intersection) are called corresponding angles; these are always equal. Alternate angles are pairs of angles on opposite sides of the transversal but inside the parallel lines. These, too, are always equal. Both these properties are used extensively to prove the parallelism of lines or determine unknown angles in geometrical problems. For example, if one pair of corresponding angles are equal, the lines being cut by the transversal are parallel. Similarly, alternate interior angles also confirm or result from lines being parallel. These angle relationships form the basis for solving many geometrical constructions and problems related to parallel and transversal lines.


4. Match the following.


Questions Answer
1. Parallel lines (C) Never meet
2. Perpendicular lines (A) Meet at 90° angle
3. Transversal (B) Cuts two or more lines
4. Corresponding angles (D) Equal when lines are parallel

5. In the figure below, lines l and m are parallel and are cut by transversal t. If ∠1 = 110°, find ∠5 and ∠8.


Answer: Since lines l and m are parallel and t is a transversal:

  • Corresponding angles: ∠1 = ∠5 = 110°.
  • Vertically opposite angles: ∠5 = ∠8 = 110°.


6. If two lines intersect to form one angle of 70°, what are the measures of the other three angles?


Answer: Let ∠A = 70°. The angle opposite to ∠A (vertically opposite) is also 70°. The other two adjacent/linear pair angles are each 110° (since 70° + 110° = 180°).


7. In a figure, AB ∥ CD and EF is a transversal. If ∠BEF = 55°, find the value of an adjacent alternate angle.


Answer: Alternate angles are equal, so adjacent alternate angle = 55°.


8. In a parallelogram, one angle is 60°. Find the measures of all other angles.


Answer: Opposite angles are equal, so another angle is 60°. Adjacent angles add up to 180°, so the remaining two angles are each 120°.


Understanding Parallel and Intersecting Lines

Mastering the concepts of parallel lines and intersecting lines is key to scoring well in Maths exams. With a clear understanding and regular practice, you can easily solve all related questions.


This chapter helps students identify corresponding, alternate, and vertically opposite angles in various diagrams. Paying attention to these angle relationships will make geometry problems much simpler for you.


Practice using NCERT solutions for Class 7 Maths Chapter 5 to enhance your problem-solving skills. Focus on important theorems and drawing neat diagrams to boost your confidence and exam scores.


FAQs on Class 7 Maths Chapter 5: Parallel and Intersecting Lines NCERT Solutions

1. What are NCERT Solutions for Class 7 Maths Chapter 5: Parallel and Intersecting Lines?

NCERT Solutions for Class 7 Maths Chapter 5: Parallel and Intersecting Lines provide fully solved, stepwise answers for all textbook exercises, helping students master key concepts.

Main features include:
- Detailed solutions for every question in Chapter 5
- Clear definitions of parallel lines, intersecting lines, and related terms
- Diagrams and labelling tips for accurate answers
- Aligned to the 2025–26 CBSE syllabus for Class 7 Maths
- Free, downloadable PDF format for offline study

2. How do stepwise NCERT Solutions help Class 7 students score better in Maths exams?

Stepwise NCERT Solutions ensure students write answers in a manner that matches the CBSE marking scheme, leading to higher scores.

Benefits include:
- Allocation of marks for each step
- Increased clarity and logical flow in answers
- Higher chances of securing full marks
- Helps avoid missing out on steps or keywords
- Makes revision easier using clear solutions

3. Are diagrams and definitions compulsory in Class 7 Maths Chapter 5 answers?

Yes, including neat diagrams and precise definitions is essential for scoring full marks in Chapter 5.

Best practices:
- Always draw and label diagrams for questions involving lines, points, or angles
- Start answers with correct definitions where required
- Use geometrical conventions for lines and points
- Diagrams help in visual understanding and attract step marks

4. Where can I download the NCERT Solutions for Class 7 Maths Chapter 5 PDF?

You can easily download the free PDF of Class 7 Maths Chapter 5 NCERT Solutions from trusted educational websites.

Steps:
- Look for the download button on the solutions page
- Choose the 2025–26 syllabus
- PDF includes exercise-wise, stepwise answers for offline study

5. What are the most important definitions and formulae from Class 7 Maths Chapter 5?

The crucial definitions and formulae from Chapter 5 include:

Key terms:
- Parallel Lines: Lines that never meet, even if extended infinitely.
- Intersecting Lines: Lines that cross at exactly one point.
- Transversal, Angle Pairs: Alternate, corresponding, and interior angles.
- Basic formulae relate to angle sums formed by these lines.

Remember to write these accurately for full marks.

6. How can I revise Class 7 Maths Chapter 5 Parallel and Intersecting Lines quickly before exams?

Quick revision of Chapter 5 is possible by focusing on key concepts, diagrams, and step-by-step solved questions.

Revision plan:
- Day 1: Revise definitions and basic concepts
- Day 2: Practice exercise-wise solutions and diagrams
- Day 3: Solve important questions and take mock tests
- Use flash notes and summary tables for quick recall

7. Which questions from Class 7 Maths Chapter 5 are most likely to appear in CBSE exams?

CBSE exams often include questions from definitions, simple construction, and application of properties in Chapter 5.

Likely question types:
- Define parallel and intersecting lines
- Identify angles formed by a transversal
- Draw and label diagrams
- Prove lines are parallel using angle properties
- Name pairs of parallel and intersecting lines from a given figure

8. How should Class 7 students write long answers for Parallel and Intersecting Lines to maximise exam marks?

For long answers, structure your solution with definitions, labelled diagrams, and stepwise explanations.

Tips for full marks:
- Start with a clear definition
- Use a neat, labelled diagram
- Explain each step logically and in the order asked
- Highlight key terms (like parallel lines, transversal, etc.)
- Conclude with the required statement (e.g., reasons or proof)

9. Are NCERT Solutions enough for Class 7 Maths exams?

NCERT Solutions provide a strong foundation as they cover all textbook questions in a CBSE-aligned manner.

To score even better:
- Complete all NCERT textbook exercises
- Practice extra questions and previous year papers
- Use exemplar problems for higher-order thinking
- Revise definitions, formulae, and diagrams regularly

10. Do examiners award partial marks for correct steps even if the final answer is wrong?

Yes, as per CBSE marking scheme, partial marks are awarded for all correct steps shown, even if the final answer is incorrect.

Tips:
- Always show all steps clearly
- Use correct mathematical reasoning
- Write formulae and working wherever needed
- This ensures you get marks for your process, not just the final answer

11. What topics does Chapter 5 Parallel and Intersecting Lines cover in Class 7 Maths?

Chapter 5 covers the basic properties, definitions, and differences between parallel and intersecting lines.

Main topics:
- Parallel lines, intersecting lines
- Drawing and identifying lines in figures
- Properties of angles formed by transversals
- Real-life examples and application-based problems

12. How do you label diagrams in Class 7 Maths Chapter 5 for full marks?

Labelling diagrams accurately is crucial for scoring well in Maths Chapter 5.

Checklist:
- Draw straight lines using a ruler
- Name lines (like AB, CD) and points clearly
- Mark angles if required
- Use correct geometric conventions
- Keep diagrams clean and clear for examiner readability