![]() Line SegmentĪ line having two endpoints is called a line segment. LineĪ straight figure that can be extended infinitely in both the directions RayĪ line having one endpoint but can be extended infinitely in other directions. In maths, the smallest figure which can be drawn having no area is called a point. Let us go through all of them to fully understand the geometry theorems list. Key components in Geometry theorems are Point, Line, Ray, and Line Segment. To prove a Geometry Theorem we may use Definitions, Postulates, and even other Geometry theorems.įor example: If I say two lines intersect to form a 90° angle, then all four angles in the intersection are 90° each. Unlike Postulates, Geometry Theorems must be proven. We can also say Postulate is a common-sense answer to a simple question. Or when 2 lines intersect a point is formed. It is the postulate as it the only way it can happen. ![]() It’s like set in stone.Įxample: - For 2 points only 1 line may exist. Geometry Postulates are something that can not be argued. This is what is called an explanation of Geometry. Or did you know that an angle is framed by two non-parallel rays that meet at a point? So before moving onto the geometry theorems list, let us discuss these to aid in geometry postulates and theorems list.ĭefinitions are what we use for explaining things.Į.g.: - You know that a circle is a round figure but did you know that a circle is defined as lines whose points are all equidistant from one point at the center. The guiding light for solving Geometric problems is Definitions, Geometry Postulates, and Geometry Theorems. “Pythagorean Proof (3)” By Brews ohare – Own work (CC BY-SA 3.Geometry is a very organized and logical subject. “Parallel Postulate” By Alecmconroy at the English language Wikipedia (CC BY-SA 3.0) via Commons WikimediaĢ. “Postulates and Theorems.” CliffNotes, Available here. Hence, the main difference between postulates and theorems is their proof. Postulates are the mathematical statements we assume to be true without any proof while theorems are mathematical statements we can or must prove as true. Need for Proofįurthermore, we don’t need to prove postulates because they state the obvious, but theorems are not so obvious and can be proven by logical reasoning or using lemmas. ![]() Postulates are assumed to be true without any proof, while theorems can be proven as true. ![]()
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