Tec — The Education Consultancy

Topics covered

• Tangent and secant terminology — point of contact, tangent segments, and internal/external common tangents
• Theorem 26.1 — a line perpendicular to a radial segment at its outer end point is tangent to the circle
• Theorem 26.2 — the tangent and the radial segment to the point of contact are perpendicular, with its corollaries
• Tangent-secant and secant-secant length relationships, combined with Pythagoras' theorem
• Theorem 26.3 — the two tangents drawn to a circle from an external point are equal in length, with its corollaries
• Theorem 26.4 — the distance between the centres of two touching circles equals the sum (external) or difference (internal) of their radii
• Applying these theorems to solve numerical and real-life problems involving tangents and touching/intersecting circles