CBSE MATHEMATICS • SELECTED CENTRAL & STATE COMPETITIVE EXAMS
AIMSSchool of MathematicsAim through AIMS

GANITA MANJARI · GRADE 9 · PART II · CHAPTER 9

Propositions and their Converses

Think first. Use AI purposefully. Verify always.

Continue Learning →

STATE · Next to reviewReview status on this browser; not a mastery score.

FIND YOUR NEXT RESOURCE

Chapter Resources

Everything you need for this chapter, organised in one place.

Visual Lessons

Future short visual explanations. See the planned topics below.

Coming Later

Read the claim.
Reason in the right direction.

Learn to state a proposition, reverse its conditions, test a claim and justify a conclusion. A convincing answer explains why.

Original AIMS explanations and practice, guided by the verified seven-page Chapter 9 source.

Given triangle ABC: BC equals a, CA equals b, AB equals c. Angle C is not yet proved right. Schematic, not to scale.CBAabcGiven · angle C to be provedConstructed triangle XYZ with right angle Z, YZ equals a, ZX equals b. XY is proved equal to c.ZYXabXY = cConstructed · angle Z = 90°
Original AIMS schematic, not to scale. Matching sides by SSS pairs A with X, B with Y and C with Z.

YOUR LEARNING JOURNEY

STATE → REVERSE → TEST → COMPARE → REASON → APPLY → PROVE → MASTER

  1. STATE — What Is a Proposition?AIMS Practice Sprint →
  2. REVERSE — Understanding the ConverseAIMS Practice Sprint →
  3. TEST — Finding CounterexamplesAIMS Practice Sprint →Recall Burst A · STATE + REVERSE + TEST →
  4. COMPARE — Proposition and Converse TogetherAIMS Practice Sprint →
  5. REASON — Building and Reading Implication ChainsAIMS Practice Sprint →Recall Burst B · COMPARE + REASON, with earlier recall →
  6. APPLY — Propositions in Number Theory and GeometryAIMS Practice Sprint →
  7. PROVE — Converse of the Baudhāyana–Pythagoras TheoremAIMS Practice Sprint →Recall Burst C · APPLY + PROVE, with earlier recall →
  8. MASTER — Reasoning with Propositions and ConversesAIMS Practice Sprint →

Review progress is local to this browser. Self-reported review and corrected practice are not automatic mastery awards.

Assess & Master

Visual Lessons

Coming Later · No video files are available yet.

  • What Is a Proposition? Coming Later
  • Reverse the Arrow — Understanding Converse Coming Later
  • Counterexample Detective Coming Later
  • Proposition vs Converse Coming Later
  • Implication Chains Coming Later
  • Converse of the Baudhāyana–Pythagoras Theorem Coming Later