Of course. The vertices of a triangle, and any three vertices
of any other polygon, are non-collinear.
In the case of a triangle and a quadrilateral, if you had three
collinear vertices, then you couldn't have the polygon.
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It's not possible to draw two points that aren't on the same straight line.
draw two angles in three common points
No. To prove this, you can actually construct the plane.
Is false
Three points determine exactly one plane.That means that if you bring me a plane, then some or all of my three points may ormay not lie in your plane. But if you bring me three points, then I can always draw aplane in which all of your points lie, and I can also guarantee that it's the only one.By the way ... three points also determine exactly one circle.