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

GANITA MANJARI · GRADE 9 · PART II · CHAPTER 9

★ AIMS Think+ · Q3

Think first. Use AI purposefully. Verify always.

AT+ · ENRICHMENT

Explore deeper. Reason beyond the routine.

Source: Ganita Manjari · Exercise Set 9.1 · ★ Q3 · Figure 9.1 · page 5.

Original AIMS diagram of the Figure 9.1 incidences. Incentre I; E on AC and F on AB. B I E and C I F are collinear.ABCIEF
I is the incentre; E lies on AC and F on AB. B–I–E and C–I–F are collinear. Original AIMS schematic; no side equality is assumed.

Textbook proposition: AB = AC → IE = IF.

Converse to investigate: IE = IF → AB = AC?

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