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Problem 523: Tangent Circles, Diameter Perpendicular, Collinearity. Level: High School, SAT Prep, College geometry

The figure shows circles C1 and C2, tangent at C. Diameter DE extended and FG are perpendicular. If FG is tangent to C2, at G. Prove that the points D, C, and G are collinear. Post a comment or solution.
 

Tangent Circles, Diameter, Perpendicular, Collinear
 

 

 

 

See Also:

 

Circle with equilateral triangles

Problem 524.
Circle, Equilateral Triangles, Midpoint, Side, Measurement.

 

Geometry Problem: Right triangle, Circle, Tangent

Problem 522.
Right Triangle, Circle, Diameter, Tangent.

 

Triangle, Three Squares, Altitude, Area

Problem 521.
Triangle with three Squares, Altitude, Rectangle, Area.

 

Triangle with six Squares

Problem 520.
Triangle with six Squares, Ratio, Area.

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