Similarities ? The unique similarity I can think about is the line from which they are drawn.
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a circle has no corners or sides and a triangle has 3 of each.
The three vertices of the triangle uniquely determine a circle that circumscribes the triangle. The three sides of the triangle uniquely determine the circle that inscribes the triangle.
if any two angles are similar the triangle will be similar
no its a circle in a triangle, and yes it is
you cannot because a triangle has verticles and a circle does not