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In geometry, formal definitions are created using other characterized words or terms. Over there are, however, 3 words in geometry that room not official defined. These words space point, line and plane, and also are referred to as the "three undefined terms of geometry".

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While this words space "undefined" in the official sense, we can still "describe" this words. The descriptions, stated below, refer to these words in relation to geometry.

POINT • a point indicates a place (or position) in space. • a allude has no dimension (actual size). • a allude has no length, no width, and also no elevation (thickness). • a point is usually called with a resources letter. • in the name: coordinates plane, a suggest is named by an bespeak pair, (x,y). when we represent a point with a dot, the dot can be really tiny or very large. Remember, a point has no size.
The dimension of the dot drawn to stand for a allude makes no difference. Points have actually no size. They simply represent a location.
LINE (straight line) • a line has no thickness. • a line"s size extends in one dimension. • a heat goes on forever in both directions. • a line has infinite length, zero width, and also zero height. • a line is presume to be straight. • a heat is drawn with arrowheads on both ends. • a line is called by a single lowercase script letter, or by any two (or more) points i m sorry lie on the line.
Lines have the right to be labeled v a solitary script letter, or by two points top top the line,
. The thickness of a line renders no difference.

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PLANE • a plane has two dimensions. • a aircraft forms a flat surface prolonging indefinitely in all directions. • a plane has infinite length, infinite width and also zero elevation (thickness). • a aircraft is attracted as a four-sided figure resembling a table or a parallelogram. • a plane is called by a solitary letter (plane m) or by three coplanar, however non-collinear,* points (plane ABC).
airplane m or plane ABC. When the diagram of a aircraft has edges, you have to remember that the airplane actually has actually no boundaries.
* upright points space points that lie ~ above the exact same straight line. Coplanar points are points the line in the very same plane.

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