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 Problem 53. Tangent Circles, angle bisector. Level: High School, SAT Prep, College

In the figure below, the circles of centers O and A are tangent at B. A chord CD of the circle O is tangent to the circle A at E. Prove that BE is the angle bisector of angle CBD.

 

Angle bisector, tangent circles
 
 

  Hints: See Geometry Help

 

I have used Geometry Expressions to visualize these geometric forms and check out a variety of conjectures. Geometry Expressions is the world's first Interactive Symbolic Geometry System. This means: Geometric figures can be defined by either Symbolic Constraints or numeric locations.

 

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Home | Geometry | Problems | Open Problems | 10 Problems | 51-60 | Circle Tangent Line | Email | by Antonio Gutierrez

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