Chapter Overview
This chapter builds upon the knowledge of triangles from earlier classes and introduces the concept of similarity. It covers criteria for triangle similarity, the Basic Proportionality Theorem, areas of similar triangles, and the Pythagoras Theorem and its converse. These concepts form the foundation for advanced geometric reasoning and applications in real-world situations.
Important Keywords
- Similar Triangles: Triangles with the same shape but possibly different sizes, having corresponding angles equal and corresponding sides in the same ratio.
- Congruent Triangles: Triangles with exactly the same size and shape.
- Basic Proportionality Theorem (BPT): A line drawn parallel to one side of a triangle divides the other two sides proportionally.
- Pythagoras Theorem: In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
- Criteria of Similarity: AA (Angle-Angle), SSS (Side-Side-Side), SAS (Side-Angle-Side)
Detailed Notes
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