Question 1180505

When it comes to a set of three points, we have a nice theorem that allows us to determine (or prove) whether or not the three points are concyclic. That theorem states the following:

Theorem: 
Any three points that are non-collinear (meaning they don't lie on the same line) are concyclic.

This is because if we connect any three non-collinear points with line segments, we form a triangle, and all triangles can be inscribed in a circle.

Three points are trivially concyclic since three noncollinear points determine a circle (i.e., every triangle has a circumcircle).

<a href="https://ibb.co/CnHVKn6"><img src="https://i.ibb.co/CnHVKn6/triangle.png" alt="triangle" border="0"></a>