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.
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Topics in Geometrical Constructions
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°
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
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
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