Question

Prove the Congruent Tangent Segments Theorem.Given: BA and BC are tangent to o O at A and C.respectivelyProve: BABCStatementsReasons1 BA and BC are tangent to o O at A and C 1. Givenrespectively2.ABL7.BCI2. Tangent-Radius Theorem

Answer 1

A line crossing the circle at point A and passing through its center O is perpendicular to a line tangent to the circle at point A.

Therefore, segment AB is perpendicular to OA. And segment BC is perpendicular to OC: