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: point, line, and plane. These terms are known as undefined terms. However, before we can provide a formal definition of geometric concepts, we must first recognize some concepts we cannot define precisely. In this introduction to geometry, we will explore the undefined and defined terms in geometry and the concepts of postulates and theorems. Every other geometric concept is derived from these undefined terms. The geometry study starts with three undefined terms: point, line, and plane. The origin of the word itself already provides a clue to what geometry is all about and that is to measure everything we can see on this planet. It comes from the Greek words geo, which means Earth, and metron, which means measure. Geometry is the branch of mathematics that deals with measurements, forms, and shapes.
This fascination with measurement and shapes has led to the building of architectural marvels that prove human ingenuity throughout the ages–from the timeless pyramids to breathtaking skyscrapers. Humans have been fascinated with ways to measure these objects as early as the Egyptian and Greek civilizations. The world consists of various objects in different forms and shapes.
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