Question

Prove the Congruent Tangent Segments Theorem.Given: BA and BC are tangent to OO at A and C,respectivelyProve: BABCCStatementsReasons1. BA and BC are tangent to OO at A and C, 1. Givenrespectively.2.ABI V. BCI 72. Tangent-Radius Theorem

Answer 1

`\begin{gathered} There\text{ are two triangles} \\ BAO\text{ and BCO} \\ They\text{ have the same side }BO \\ and \\ BA\perp OA\text{ and BC}\perp OC,\text{ OA=OC=}radius\text{ hence} \\ BA\cong BC \end{gathered}`