Circle Theorem 6 – Tangents from a Point to a Circle

① This interactive worksheet demonstrates the construction of two tangents from an external point to a circle and shows that the tangent segments are equal in length. ② Core mathematical concepts include the tangent‑to‑circle theorem, equality of tangent segments, perpendicularity of radius to tangent, and the use of similar triangles to prove distance relationships. ③ Construction highlights: Circle creates the base circle c; Tangent draws the two tangent lines a and b from point A; Intersect finds the tangent points B, C, D; Distance measures segments CB and DB, with TextCB and TextDB displaying their lengths. ④ Suitable for middle‑school geometry (grade 9) through high‑school analytic geometry, and for dynamic geometry construction practice.