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Chapter 13 of 15
Revision Notes

Geometrical Constructions — Revision Notes

Telangana Board · Class 9 · Mathematics

Geometrical Constructions revision notes for Telangana Board Class 9 Mathematics: 3 topics in quick points. Includes Basic Constructions, Triangle.

44 questions20 flashcards5 concepts

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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

Frequently Asked Questions

What are the important topics in Geometrical Constructions for Telangana Board Class 9 Mathematics?
Key topics in Geometrical Constructions include Basic Constructions, Triangle Constructions - Special Cases, Circle Segment Construction. Study these first, then practise questions on each for Class 9 exams.
How should I revise Geometrical Constructions for Class 9 exams?
Learn the core ideas first, then work through the 44 practice questions on Geometrical Constructions. 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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