Chapter 13 of 15
Syllabus
Geometrical Constructions — Syllabus
Telangana Board · Class 9 · Mathematics
Geometrical Constructions topics: Basic Constructions, Triangle Constructions - Special Cases and Circle Segment Construction.
44 questions20 flashcards5 concepts
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3 Topics · Telangana Board Class 9 Mathematics · 2026-27
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
Work through every topic in Geometrical Constructions with notes and quizzes
Start This ChapterFrequently 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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