![]() For this reason, we are going to narrow down the scope of this reviewer to one of the most essential geometric systems- Euclidean geometry.Įuclidean geometry has been attributed to Euclid, a Greek mathematician. ![]() Geometry is a vast area of mathematical study. These terms will suffice for now as we explore the basic postulates of Euclidean geometry. For this reason, we will study them more rigorously in the next chapter.Īt this point in our review, we have already defined some important geometric concepts. Thus, the endpoint is not necessarily an “end” or a final destination of a ray but it just refers to a fixed point where a portion of the ray is not extending.Īngles have a lot of significant applications in geometry. Note: The “endpoint”, as used in the context of angles, refers to a boundary that limits the rays from extending infinitely. The common endpoint of the rays of an angle is called a vertex while the rays are called the sides. Some real-life representations of a point are the tip of a pencil or a certain coordinate in a map. Furthermore, we use capital letters to provide a name to a certain point. We use a dot to provide a visual representation of a point. Let’s now provide descriptions of these undefined terms in geometry and look for their real-life representations. For instance, the tip of your ballpen is a representation of a point, the edge of your notebook is a line, and the surface of your table is a plane. How can we define these terms if they are the “foundations” of our study?Īlthough we cannot formally define what a point, line, or plane is, we can develop an intuition on what these terms are. Exploring and combining these terms will provide us with other geometric concepts. The point, line, and plane cannot be defined easily because they are the building blocks of geometry. There are three undefined terms in geometry, namely the point, line, and plane. These terms are known as undefined terms. However, before we can provide a formal definition of geometric concepts, we must recognize first that there are some concepts that we cannot define precisely. Using this formal definition, we know exactly what a triangle is it allows us to tell that a pizza is triangular in shape, but a ball is not. In geometry, we use formal definitions to precisely refer to a certain concept.įor example, a triangle is a geometric concept that is defined as “a type of polygon with three sides and three vertices”.
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