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Math, Geometry Problem 984. Triangle, Circumcircle, Altitudes, Midpoint, Collinear Points.

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The infographic below shows a triangle ABC, with altitudes AA1 and CC1. D is a point on the circumcircle O. AA1 and DC meet at A2, C1C and AD meet at C2. If M is the midpoint of A2C2, prove that C1, A1, and M are collinear.
 

Geometry Problem 984: Triangle, Circumcircle, Altitudes, Midpoint, Collinear Points

 

Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery |  Art | 981-990 | Triangles |Circumcircle | Circles | Altitude| Midpoint | Collinear Points | by Antonio Gutierrez

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