Or if you have some sort of smaller letter over here, we can call this Line L. Now when you're labeling a line, it's key to include at least two points. So a line is going to be all the points, and we can actually select two of them to name it. And a line is set of points or, the word that you might learn later is locus, extending in either direction infinitely. So you can think of coplanar as sharing the same plane. So "co", you can think of it as a word for sharing. So two things are coplanar if they are, just like we have in the picture here, in the same plane. You could call this plane, Plane ABC.ĭefinition of coplanar: We actually can define this, is points, lines, or anything, segments, polygons in the same plane. So let's say you had a point right here: Point A, Point B, and Point C. And collinear we'll talk about in a second here, but collinear means they're not on the same line. Now you can name a plane using a single capital letter, usually written in cursive, or by three non-collinear points. Secondly, this paper actually has some thickness and a plane will not. Or if there are two differences between a sheet of paper and a plane, the first is this paper does not extend in every direction. So one way to visualize what a plane could be is to think about a sheet of paper. A plane is a flat surface that has no thickness, and it will extend infinitely in every direction. And the way that we label it is with a capital letter. A point has no size it only has a location. Now we're not really defining point, we're just describing it. So let's go back and define these as much as we can. And the third undefined term is the line. From these terms we define everything else. There are three undefined terms in geometry.
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