Chapter 8 of 16
Revision Notes
Constructions of Triangles — Revision Notes
Maharashtra Board · Class 9 · Mathematics
Constructions of Triangles revision notes for Maharashtra Board Class 9 Mathematics: 4 topics in quick points.
45 questions20 flashcards4 concepts
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Key Topics to Revise
1
Previously Learned Constructions (Quick Recall)
- Construction when three sides are given (SSS)
- Construction when base and two adjacent angles are given (ASA)
- Construction when two sides and included angle are given (SAS)
2
Construction I: Base + Adjacent Angle + Sum of Remaining Sides
- Given: Base BC, angle adjacent to base (∠B), and sum AB + AC
- Strategy: Use perpendicular bisector property
- Key insight: If BD = AB + AC, then AD = AC (where D is on ray from B)
3
Construction II: Base + Adjacent Angle + Difference of Remaining Sides
- Given: Base BC, angle adjacent to base, and difference |AB - AC|
- Two cases: AB > AC or AC > AB
- Use perpendicular bisector property with modified approach
4
Construction III: Perimeter + Base Angles
- Given: Perimeter of triangle and two base angles
- Perimeter = AB + BC + AC
- Use angle bisector property for construction
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Full NotesKey Concepts
This theorem states that every pointWhen given a baseSimilar to the sum methodWhen the perimeter and two base
Frequently Asked Questions
What are the important topics in Constructions of Triangles for Maharashtra Board Class 9 Mathematics?
Key topics in Constructions of Triangles include Previously Learned Constructions (Quick Recall), Construction I: Base + Adjacent Angle + Sum of Remaining Sides, Construction II: Base + Adjacent Angle + Difference of Remaining Sides, Construction III: Perimeter + Base Angles. Study these first, then practise questions on each for Class 9 exams.
How should I revise Constructions of Triangles for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Constructions of Triangles. 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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