SOLUTION: Circles centered at A and B are tangent at T. Prove that A,T, andB are collinear.

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Question 1163747: Circles centered at A and B are tangent at T. Prove that A,T, andB are collinear.
Answer by greenestamps(13216) About Me  (Show Source):
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Let TU be the common tangent line.

Radii AT and BT of the two circles are both perpendicular to TU, so angles ATU and BTU are both 90 degrees.

That makes angle ATB 180 degrees; and that makes A, T, and B collinear.