Are three collinear points are always also coplanar
points.
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Yes. However they are in an infinite number of planes.
What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
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Yes, three collinear points are always coplanar points. Collinear points are points that lie on the same straight line. Coplanar points, on the other hand, are points that lie on the same plane. Since a line can be considered as a subset of a plane, any three points that lie on a straight line will also lie on the same plane.
Yes, three collinear points are always coplanar. To understand why, let's break down the definitions of collinear and coplanar:
1. Collinear points: Collinear points are points that lie on the same line. In other words, if you can draw a straight line passing through two or more points, those points are collinear.
2. Coplanar points: Coplanar points are points that lie in the same plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions. Points that lie in the same plane can be connected by a straight line without leaving the plane.
Now, imagine you have three collinear points A, B, and C. Since A and B are collinear, you can draw a line passing through these two points. Similarly, since B and C are collinear, you can draw a line passing through these two points. Since the same line passes through A, B, and C, all three points lie on the same line.
Since all three points lie on the same line, they can also be connected by a straight line without leaving the line. In other words, they can be connected while staying on the same plane. Therefore, three collinear points are always coplanar.