

Online Geometry
Problem 486: Tangent circles, Chord, Arc, Midpoint, Collinearity, Congruence

The figure shows circles C_{1}
and C_{2}, tangent at C. Chord DE and C_{2} are
tangent at F, G is the midpoint of arc DE and DH is tangent to C_{2},
at H. Prove that (1) Points G, F, and C are collinear, (2) GD,
GE, and GH are congruent.



See Also:






Problem 487.
Intersecting Circles, Area, Diameter, Parallel, 90 Degrees. 


Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement. 


Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion. 


Problem 483.
Square, Angle, 90 degrees, Measurement. 


Problem 482.
Triangle, Circumcircle, Incenter, Excenter, Midpoint, Cyclic Points. 






