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Chapter 4 of 12
Syllabus

Quadrilaterals — Syllabus

Karnataka Board · Class 9 · Mathematics

What Quadrilaterals covers in Karnataka Board Class 9 Mathematics: 4 topics, for the 2026-27 session. Topics include Properties of Parallelograms, Special.

44 questions20 flashcards5 concepts

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4 Topics · Karnataka Board Class 9 Mathematics · 2026-27

Topics in Quadrilaterals

1

Properties of Parallelograms

  • A parallelogram is a quadrilateral where both pairs of opposite sides are parallel
  • Diagonal of parallelogram divides it into two congruent triangles
  • Opposite sides are equal: AB = DC and AD = BC
2

Special Parallelograms

  • Rectangle: Parallelogram with one right angle (all angles become 90°)
  • Rhombus: Parallelogram with all sides equal
  • Square: Rectangle with all sides equal (combines properties of both)
3

Mid-Point Theorem

  • Line segment joining mid-points of two sides is parallel to third side
  • Mid-point segment length is half of third side: EF = (1/2)BC
  • Converse: Line through mid-point parallel to one side bisects third side
4

Problem-Solving Strategies

  • Identify type of quadrilateral from given conditions
  • Use appropriate congruence rules (SSS, SAS, ASA) for triangle proofs
  • Apply properties systematically: sides, angles, diagonals

Key Concepts

A parallelogram has three fundamental propertiesIf a quadrilateral satisfies anyRectangleThe line segment joining midStep

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Frequently Asked Questions

What are the important topics in Quadrilaterals for Karnataka Board Class 9 Mathematics?
Key topics in Quadrilaterals include Properties of Parallelograms, Special Parallelograms, Mid-Point Theorem, Problem-Solving Strategies. Study these first, then practise questions on each for Class 9 exams.
How should I revise Quadrilaterals for Class 9 exams?
Learn the core ideas first, then work through the 44 practice questions on Quadrilaterals. Revise definitions regularly and use flashcards for quick recall 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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