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Revision Notes

Inequalities

ICSE · Class 9 · Mathematics

Quick revision notes for Inequalities — ICSE Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

43 questions22 flashcards5 concepts

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A diagram illustrating Theorem 3: If two sides of a triangle are unequal, the greater side has the greater angle opposite to it. Show triangle ABC with AB > AC, and highlight the angles opposite to th
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Key Topics to Revise

1

Basic Inequality Symbols and Concepts

  • The symbol '>' means 'is greater than' (Example: 5 > 3)
  • The symbol '<' means 'is less than' (Example: 2 < 7)
  • In triangles, there are special relationships between sides and their opposite angles
2

Theorem 3: Unequal Sides and Opposite Angles

  • If two sides of a triangle are unequal, the greater side has the greater angle opposite to it
  • This theorem helps us determine angle relationships when we know side lengths
  • The proof involves constructing an equal side and using properties of isosceles triangles
3

Theorem 4: Unequal Angles and Opposite Sides

  • If two angles of a triangle are unequal, the greater angle has the greater side opposite to it
  • This is the converse of Theorem 3
  • When we know angle measurements, we can determine side relationships
4

Theorem 5: Perpendicular is the Shortest Distance

  • Of all lines drawn from an external point to a straight line, the perpendicular is the shortest
  • This theorem establishes the concept of shortest distance
  • Any oblique line from the point to the line will be longer than the perpendicular

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Full Notes

Key Concepts

The symbol > means 'is greaterIf two sides of a triangleIf two angles of a triangleOf all lines that can beIn any triangle

Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 9 Mathematics?
Inequalities covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Inequalities — ICSE Class 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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