SOLUTION: prove line AC is parallel to line BD if line AB is the diameter of circle O and lines AC BD are the tangents. I need to know how to show the statement and the reason of how you are

Algebra ->  Geometry-proofs -> SOLUTION: prove line AC is parallel to line BD if line AB is the diameter of circle O and lines AC BD are the tangents. I need to know how to show the statement and the reason of how you are      Log On


   



Question 370056: prove line AC is parallel to line BD if line AB is the diameter of circle O and lines AC BD are the tangents. I need to know how to show the statement and the reason of how you are proving it please! i really need to learn
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

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Since AC is a tangent, then the angle between AC and AB is 90 degrees.
Same for the angle between BD and AB.
CAB=ABD=90
They are alternate interior angles and since they are equal, AC is parallel to BD.