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Geometrical Constructions

Telangana Board · Class 9 · Mathematics

Complete topic list for Geometrical Constructions in Telangana Board Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

44 questions20 flashcards5 concepts

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3 Topics · Telangana Board Class 9 Mathematics

Topics in Geometrical Constructions

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

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?
Geometrical Constructions covers several key topics that are frequently asked in Telangana Board 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 Geometrical Constructions — Telangana Board Class 9 Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and 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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All 15 chapters — Telangana Board Class 9 Mathematics Syllabus

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