If you’ve been looking for the new Class 9 Mathematics textbook aligned with NCF-SE and NEP, you probably know that NCERT has revamped the syllabus under the new title Ganita Manjari.
Following the release of Part 1, NCERT rolled out Ganita Manjari Part 2. It opens with a brand-new, concept-heavy topic: Chapter 9 – Propositions and their Converses.
Here is an overview of what this chapter covers, why it matters for your upcoming exams, and where you can download the official NCERT PDF directly.
What is Chapter 9: Propositions and their Converses About?
Unlike earlier years where geometry began straightaway with memorizing axiom proofs or formula cramming, Chapter 9 introduces foundational mathematical logic. It focuses on how to think mathematically before jumping into geometric proofs.
Key concepts you will study in this chapter:
- Understanding Mathematical Statements (Propositions): Differentiating between open sentences and unambiguous mathematical propositions (statements that are strictly true or false).
- Conditional Statements: Identifying the hypothesis (antecedent) and conclusion (consequent).
- Forming Converses: Reversing the direction of conditional statements and testing whether the converse of a true statement is always true.
- Counterexamples: Finding a single counterexample to disprove an assertion.
- Foundations of Proof: Building logical arguments that you will immediately use in Chapter 12 (Quadrilaterals) and circle theorems.
Download NCERT Class 9 Maths Chapter 9 PDF
You can download the chapter-wise PDF for your offline study or revision directly using the link below:
- Book Title: Ganita Manjari – Part 2 (Mathematics for Class 9)
- Chapter Name: Chapter 9 – Propositions and their Converses
- Language: English Medium
- Curriculum: CBSE / NCF-SE
👉 Click Here to Download Chapter 9: Propositions and their Converses PDF (Official NCERT Portal)