DEFINED TERMS & POSTULATES IN GEOMETRY| G8 MATH

Let us now learned some of the defined terms and basic postulates in geometry. We learned that the three undefined terms of geometry are points, lines and planes. The other concepts will be defined using these three. In the study of Geometry, the three different classifications of statements are being used namely; definition, postulate and theorem. Defined Terms use undefined terms or terms previously defined to give a clear meaning of a word or a phrase. A postulate is a statement that is accepted without proof. Theorem is a statement needs to be proven first before accepted as true. At this point, we will learn about some postulates on the relationships of points, lines and planes. BASIC DEFINITION Using the Undefined Terms • Collinear points – points that lie on the same line. • Noncollinear points – points that are not contained on the same line. • Coplanar points - points that lie on the same plane. • Noncollinear points – points that are not contained on the same line. • Intersection – the set of points that is common to both figures. Intersection could be a point, a line, or a plane. • Space – the set of all points. BASIC POSTULATES Straight-Line Postulate --Two points are contained in exactly one line. Points-Existence Postulate--- Every line contains at least two distinct points. Flat plane Postulate --Two points are in a plane, then the line containing the points is in the same plane. Plane Postulate-- Three noncollinear points are contained in exactly one plane. Line- Intersection Postulate -- Two lines intersect, then their intersection is a point. Plane Intersection Postulate -- Two planes intersect, then their intersection is a line. Follow me on Facebook! VEE TEACH CHANNEL