Proof - Daisy
Proof: The tangent of a circle is perpendicular to its radius at the point of tangency.
|1. O is center of circle||1. Given|
|2. AB and AC are tangents||2. Given|
|3. AO = AC||3. Radii of circles are always congruent|
|4. Angle OCB = Angle OAB||4. This is the tangent-radius property|
|5. OCB = OAB||5. Hypotenuse Leg Postulate (share hypotenuse)|
|6. AB = CB||6. Corresponding Sides of Congruent Triangles|