Download Parallel and Intersecting Lines – NCERT Class 7 Maths Chapter 5 PDF from the new NCERT Class 7 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. When two lines intersect, four angles are formed. Linear pairs add up to 180° and vertically opposite angles are equal.
Parallel and Intersecting Lines PDF – Chapter 5 of Ganita Prakash (Part I)
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 5 PDF | Parallel and Intersecting Lines | View PDF |
| Full book | NCERT Class 7 Maths – Ganita Prakash | View Book |
Read Online
What Is in Parallel and Intersecting Lines? (Class 7 Maths Chapter 5)
- When two lines intersect, four angles are formed. Linear pairs add up to 180° and vertically opposite angles are equal.
- If all four angles at a crossing are equal, each is 90° and the lines are perpendicular.
- Parallel lines lie in the same plane and never meet, however far they are extended. They are marked with matching arrow heads.
- A transversal cutting two lines makes 8 angles, with at most 4 different sizes.
- Corresponding angles are equal exactly when the two lines are parallel — this is the test for parallelism.
- For a transversal across parallel lines: alternate angles are equal, and interior angles on the same side add up to 180°.
Quick revision – Parallel and Intersecting Lines
| Idea | What it means | Where it appears | Key result |
|---|---|---|---|
| Intersecting lines | Two lines of a plane that meet at a point | Fig. 5.2 | Four angles are formed |
| Linear pair | Two adjacent angles standing on a straight line | ∠a and ∠b, Fig. 5.2 | Sum = 180° |
| Vertically opposite angles | The two facing angles at a crossing | ∠b and ∠d, Fig. 5.2 | Always equal |
| Perpendicular lines | Lines crossing so that all four angles are equal | Fig. 5.4 | Each angle = 90° |
| Parallel lines | Lines of one plane that never meet | Fig. 5.6 | Marked with >, >> arrow heads |
| Transversal | A line that cuts a pair of lines | T in Fig. 5.14 | 8 angles, at most 4 sizes |
| Corresponding angles | Same position at the two crossings | ∠1 and ∠5, Fig. 5.14 | Equal exactly when the lines are parallel |
| Alternate angles | Opposite sides of the transversal, one at each line | ∠d and ∠f, Fig. 5.25 | Equal when the lines are parallel |
| Interior angles on the same side | Between the two lines, same side of the transversal | ∠3 and ∠6, Fig. 5.28 | Sum = 180° when the lines are parallel |
| Drawing a parallel | Ruler and set square, or two paper folds | Fig. 5.21, Fig. 5.24 | Equal corresponding angles guarantee parallelism |
Old NCERT vs New – Class 7 Maths
This chapter is from Ganita Prakash, the new NCERT Class 7 Maths book (NCF-SE 2023, used from 2025-26). It replaced the old book “Mathematics”, so chapter numbers and names differ from older PDFs.
Solutions and All Chapters
Answers to the exercises and the full chapter list of Ganita Prakash:
Parallel and Intersecting Lines – Overview
| Class | Class 7 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Part | Part I |
| Chapter | 5 of 15 – Parallel and Intersecting Lines |
| Book pages | 106 – 126 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 7 Maths Chapter 5 – FAQs
Where can I download Parallel and Intersecting Lines Class 7 PDF?
From the download table on this page – the chapter PDF is free, and the full book is linked too.
What is Class 7 Maths Chapter 5 about?
When two lines intersect, four angles are formed. Linear pairs add up to 180° and vertically opposite angles are equal.
Is Parallel and Intersecting Lines from the new NCERT Class 7 Maths book?
Yes. It is chapter 5 of ganita prakash (part i), the new NCERT Class 7 Maths book for 2026-27.
Is this the latest NCERT edition for 2026-27?
Yes – the PDF is NCERT’s latest edition for the 2026-27 session.
Where are the NCERT Solutions for Class 7 Maths Chapter 5?
Open the NCERT Solutions link above for answers to the exercise questions.