Circle Theorem 7 – Tangents from a Point to a Circle II

This dynamic worksheet illustrates the second 'tangents from a point to a circle' circle theorem, showing that the two tangent segments from an external point to a circle have equal lengths and exploring related angle properties. The core mathematics includes the tangent segment theorem, angle relationships between tangents and chords, and the equality of tangent lengths. The GeoGebra construction uses commands such as Circle, Tangent, Segment, Angle, Intersect, and Distance, with objects A, B, C, D, distanceCB, TextCB, distanceDB, TextDB to enable interactivity. It is suitable for high‑school geometry classes and for preparing students for mathematical olympiads.