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Online Geometry
Problem 486: Tangent circles, Chord, Arc, Midpoint, Collinearity, Congruence
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The figure shows circles C1
and C2, tangent at C. Chord DE and C2 are
tangent at F, G is the midpoint of arc DE and DH is tangent to C2,
at H. Prove that (1) Points G, F, and C are collinear, (2) GD,
GE, and GH are congruent.

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See Also:
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Problem 487.
Intersecting Circles, Area, Diameter, Parallel, 90 Degrees. |
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Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement. |
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Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion. |
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Problem 483.
Square, Angle, 90 degrees, Measurement. |
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Problem 482.
Triangle, Circumcircle, Incenter, Excenter, Midpoint, Cyclic Points. |
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