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Chapter 13 of 15
Revision Notes

Geometrical Constructions

Kerala Board · Class 9 · Mathematics

Quick revision notes for Geometrical Constructions — Kerala Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions20 flashcards5 concepts

Key Topics to Revise

1

Basic Constructions

  • Use only ruler (ungraduated) and compass for pure geometric constructions
  • Every construction must have logical justification using congruence rules
  • Perpendicular bisector divides a line segment into two equal parts at 90°
2

Triangle Constructions - Special Cases

  • When sum of two sides is given: Extend one side and use perpendicular bisector method
  • When difference of two sides is given: Mark the difference on extended/reduced side
  • For perimeter constructions: Draw line equal to perimeter, then use angle bisectors
3

Circle Segment Construction

  • Circle segment contains all points that subtend the same angle on a given chord
  • Angle at center = 2 × angle at circumference (same arc)
  • Use the relationship between central and inscribed angles

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Full Notes

Key Concepts

Construction uses only ungraduated ruler (forMethodMethod60° angleGiven

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Frequently Asked Questions

What are the important topics in Geometrical Constructions for Kerala Board Class 9 Mathematics?

Geometrical Constructions covers several key topics that are frequently asked in Kerala Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.

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.