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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](p523_circles_collinear.gif)
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See Also:
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![Circle with equilateral triangles](p524_circle_equilateral_tri.jpg) |
Problem 524.
Circle, Equilateral Triangles, Midpoint, Side, Measurement. |
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![Geometry Problem: Right triangle, Circle, Tangent](p522_triangle_circle_1.jpg) |
Problem 522.
Right Triangle, Circle, Diameter, Tangent. |
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![Triangle, Three Squares, Altitude, Area](p521_triangle_squares_area.jpg) |
Problem 521.
Triangle with three Squares, Altitude, Rectangle, Area. |
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![Triangle with six Squares](p520_six_squares_triangle.jpg) |
Problem 520.
Triangle with six Squares, Ratio, Area. |
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