Triangles on Lines

Six congruent isosceles triangles are arranged as shown in the figure.
Show that points C, F, and M are collinear.

Difficulty level (1 very easy - 10 very hard): 3

Topics:
Geometry -> Plane Geometry -> Angle Calculation Geometry -> Plane Geometry -> Triangles -> Triangle Congruence Geometry -> Plane Geometry -> Plane Transformations -> Congruence Transformations (Isometries) -> Parallel Translation / Translation
Sources:
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