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![Online Geometry Problems, High School, College](h_geometry_problem_910.jpg)
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.
![Tangent Circles, Midpoint, Chord, Collinearity, Congruence](p486_tangent_circles.gif)
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See Also:
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![Tangent Circles Index](../circle/tangent_circles_index_17.jpg) |
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![Circle, Area, 90 Degrees](p487_circle_area_1.jpg) |
Problem 487.
Intersecting Circles, Area, Diameter, Parallel, 90 Degrees. |
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![Square, Circles, Tangent](p485_square_circles_1.jpg) |
Problem 485.
Square, Side, Circles, Tangent, Radius, Measurement. |
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![Square, Angle, 90 degrees, Proportion](p484_square_triangle_1.jpg) |
Problem 484.
Square, Angle, 90 degrees, Triangle, Measurement, Proportion. |
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![Triangle, Square, 90 degrees](p483_square_triangle_1.jpg) |
Problem 483.
Square, Angle, 90 degrees, Measurement. |
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![Triangle, Circumcircle, Incircle, Excircle](p482_triangle_circle_1.jpg) |
Problem 482.
Triangle, Circumcircle, Incenter, Excenter, Midpoint, Cyclic Points. |
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