Chapter 6 of 14
Syllabus
Triangles — Syllabus
Gujarat Board · Class 10 · Mathematics
What Triangles covers in Gujarat Board Class 10 Mathematics: 4 topics, for the 2026-27 session. Part of the Gujarat Board Class 10 Mathematics syllabus.
45 questions24 flashcards5 concepts
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4 Topics · Gujarat Board Class 10 Mathematics · 2026-27
Topics in Triangles
1
Similar Figures
- Two figures are similar if they have the same shape but not necessarily the same size
- All congruent figures are similar, but similar figures need not be congruent
- All circles are similar to each other regardless of their radii
2
Basic Proportionality Theorem (Thales Theorem)
- If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally
- The converse is also true: if a line divides two sides of a triangle in the same ratio, it is parallel to the third side
- This theorem is fundamental to proving similarity of triangles
3
Criteria for Similarity of Triangles
- Three main criteria: AAA (or AA), SSS, and SAS
- AAA Criterion: If corresponding angles are equal, triangles are similar
- AA Criterion: If two angles of one triangle equal two angles of another, triangles are similar
4
Applications and Problem Solving
- Similarity is used for indirect measurements (heights, distances)
- Shadow problems use similar triangles principle
- Map making and scale drawings use similarity concepts
Key Concepts
Two figures having the same shapeTwo polygons of the same numberIf a line is drawn parallelIf a line divides any twoIf corresponding angles of two triangles
Work through every topic in Triangles with notes and quizzes
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What are the important topics in Triangles for Gujarat Board Class 10 Mathematics?
Key topics in Triangles include Similar Figures, Basic Proportionality Theorem (Thales Theorem), Criteria for Similarity of Triangles, Applications and Problem Solving. Study these first, then practise questions on each for the Gujarat Board Class 10 board exam.
How should I revise Triangles for the Gujarat Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on 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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