validity of a triangle

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Can a line segment be considered as a triangle, given that all three points(vertices) are collinear? if yes, then can a point be considered as a triangle too, considering all three vetrices lie at same position? Thanks.

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Definition of a triangle

A triangle is a polygon with three edges and three vertices.In Euclidean geometry any three points, when non-collinear, determine a unique triangle and a unique plane (Wikipedia).

Triangle breaks up into 'tri' (three) and 'angle'.Three collinear points can never make three angles.So,your thinking is wrong.

Although what you are saying is technically considered to be a degenerate triangle.