POINT (an undefined term)
In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y).
LINE (an undefined term)
In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them.
PLANE (an undefined term)
In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC).
Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point.
Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them.
Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle.
I am prepared to define any term in geometry. If there is some term for which you would like to have a definition, just ask.
point , line and plane
point line plane
point, line and plane
PLANE The Ceiling of a room - PlaneThe Surface of the page - PlaneThe Floor - PlaneLINEThe String on a guitar - LineA Rope - LineA Hair Strand - Line
I am prepared to define any term in geometry. If there is some term for which you would like to have a definition, just ask.
point , line and plane
point line plane
point, line, and plane.
point, line and plane
There are typically three words in geometry that are undefined. The first is "point." A point has no dimension, length, width, or thickness. The second is "line." A line has no thickness and goes on indefinitely in both directions. The third undefined term is "plane." A plane has no thickness and has no boundaries.
1. Undefined Terms 2. Definitions 3. Postulates 4. Conjectures 5. Theorems :)
The difference between defined and undefined terms is that the defined terms can be combined with each other and with undefined terms to define still more terms. These are undefined terms: 1.plane 2.point 3.line These are defined terms: 1.ray 2.union of sets 3.space 4.subset 5.set 6.proper subset 7.opposite rays 8.postulate 9.betweenness of points 10.bisector of a segment 11.midpoint of a segment 12.line segment 13.lenght of a segment 14.collinear points 15.complement of a set 16.coplanar points 17.disjoint sets 18.element 19.empy set 20.finite set 21.geometry 22.infinite set 23.intersection of sets
PLANE The Ceiling of a room - PlaneThe Surface of the page - PlaneThe Floor - PlaneLINEThe String on a guitar - LineA Rope - LineA Hair Strand - Line
Plane, line and point. These are terms that are universally called the terms that cannot be defined.
Point ; Line ; Plane - Remember the Point-Line-Plane Postulate
Undifined terms are terms that don't and can't be broken down any more. Three examples: point, line, plane.