Name: ___________________ Date:___________________ 

Theorem: (Tangent Secant theorem or Alternate Segment theorem) The angle between chord AB and tangent PQ through the point of contact is equal to the angle in the alternate segment. Given: PQ is a tangent at A to the circle with O as center. AB is a chord. To prove: If C is a point on a major arc and D is a point on a minor arc with respect to the chord AB then BAQ = ACB and PAB = ADB Construction: Join OB
Directions: Solve the following 