Focusing on Proving Skills for Senior Secondary Two Students in Circle Geometry

The learning of circle theorems is frequently highlighted as one challenging geometric content area in the Nigerian Mathematics curriculum for Senior Secondary two students. However, it remains unclear how students, are reasoning when dealing with proving of circle theorems. This paper rigorously demonstrates the fundamental relationships between angles, lines, and arcs within a circle, often using geometric proofs. It provides a comprehensive and accessible proving skills which are fundamental for circle theorems. The skills utilize geometric principles and constructions, aiming for clarity and ease of understanding. It presents a comprehensive and accessible set of proofs for key circle theorems, through detailed geometric constructions and logical reasoning, making the concepts understandable for students’ achievement examinations. It covers key concepts such as angles at the centre and circumference, angles in a semicircle, and cyclic quadrilaterals, along with the geometric reasoning or statement step-by-step behind them.