Chapter 2 : Triangles
Triangles are fundamental geometric shapes characterized by three sides, three angles, and three vertices. Congruent triangles possess identical sizes and shapes, established through several congruence criteria including SSS, SAS, ASA, AAS, and RHS. This chapter also delves into triangle properties and inequalities, providing essential insights into the relationships between triangle sides and angles.
Sections
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What we have learnt
- A triangle consists of three sides, three angles, and three vertices.
- Congruence criteria for triangles include SSS, SAS, ASA, AAS, and RHS.
- Properties of triangles reveal relationships between angles and opposite sides.
- Inequalities in triangles show that the larger angle is opposite the longer side.
Key Concepts
- -- Congruent Triangles
- Triangles that have the same size and shape.
- -- Congruence Criteria
- Rules used to determine if two triangles are congruent, including SSS, SAS, ASA, AAS, and RHS.
- -- Triangle Inequalities
- Principles stating that in a triangle, the greater angle is opposite the longer side and the sum of any two sides must be greater than the third side.
- -- Properties of a Triangle
- Characteristics such as equal angles opposite equal sides.
Additional Learning Materials
Supplementary resources to enhance your learning experience.