Class 9 NCERT • Ganita Manjari Part II (New Syllabus)
Ch 09: Propositions and their Converses
Select a topic or study module below to explore mathematical statements, truth values, conditional implications, converse structures, biconditional statements, geometric proofs, and textbook exercises.
Topic 01 • Mathematical Statements
Understanding Declarative Sentences, Propositions, and Identifying Valid Claims
Topic 02 • Truth Values
Evaluating Whether Mathematical Propositions Are True or False Under Given Conditions
Topic 03 • Conditional Implications
Analyzing “If-Then” Statements (P ⇒ Q), Hypotheses, and Logical Conclusions
Topic 04 • Converse Statements
Exploring What Happens When Hypothesis and Conclusion Are Swapped (Q ⇒ P)
Topic 05 • Comparing Statements
Differentiating When a Statement Is True While Its Converse Is False, and Vice Versa
Topic 06 • Biconditionals
Studying “If and Only If” Statements (P ⟺ Q) Where Both Proposition and Converse Hold True
Topic 07 • Geometric & Number Proofs
Applying Proposition Logic to Angle Properties, Parallel Lines, and Number Patterns
Module 08 • Solutions & Quiz