Triangles
Uttarakhand Board · Class 10 · Mathematics
Quick revision notes for Triangles — Uttarakhand Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Similar Figures and Basic Concepts
- Similar figures 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, all squares are similar to each other
Basic Proportionality Theorem (Thales Theorem)
- If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally
- Converse: If a line divides two sides of a triangle in the same ratio, then it is parallel to the third side
- This theorem forms the foundation for proving triangle similarity
Criteria for Similarity of Triangles
- AAA (or AA) Similarity: If corresponding angles are equal, triangles are similar
- SSS Similarity: If corresponding sides are proportional, triangles are similar
- SAS Similarity: If one angle is equal and including sides are proportional, triangles are similar
Problem-Solving Techniques
- Step 1: Identify given information and what needs to be found
- Step 2: Draw clear diagrams with proper labeling
- Step 3: Choose appropriate similarity criterion
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Triangles covers several key topics that are frequently asked in Uttarakhand Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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