undefined Terms aramuseum.org Topical summary | Geometry outline | MathBits" Teacher resources Terms that Use contact Person: Donna Roberts
In geometry, formal meanings are formed using other characterized words or terms. Over there are, however, three words in geometry that space not formally defined. These words space point, line and plane, and also are described as the "three undefined regards to geometry".
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While these words are "undefined" in the officially sense, we can still "describe" this words. The descriptions, stated below, describe these native in relation to geometry.
POINT • a point indicates a ar (or position) in space. • a allude has no measurement (actual size). • a suggest has no length, no width, and no elevation (thickness). • a allude is usually called with a resources letter. • in the coordinate plane, a suggest is named by an ordered pair, (x,y). when we stand for a suggest with a dot, the dot deserve to be very tiny or really large. Remember, a point has no size.
The dimension of the dot attracted to represent a suggest makes no difference. Points have actually no size. They just represent a location.
LINE (straight line) • a line has actually no thickness. • a line"s size extends in one dimension. • a heat goes on forever in both directions. • a line has actually infinite length, zero width, and zero height. • a heat is suspect to be straight. • a heat is attracted with arrow head on both ends. • a heat is named by a single lowercase manuscript letter, or by any two (or more) points i beg your pardon lie on the line.
Lines can be labeled with a solitary script letter, or by 2 points on the line,
. The thickness of a line makes no difference.
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PLANE • a plane has 2 dimensions. • a aircraft forms a level surface expanding indefinitely in every directions. • a aircraft has unlimited length, limitless width and also zero height (thickness). • a airplane is attracted as a four-sided figure resembling a table or a parallelogram. • a airplane is called by a single letter (plane m) or by 3 coplanar, however non-collinear,* points (plane ABC).
aircraft m or airplane ABC. While the chart of a plane has edges, you should remember the the aircraft actually has no boundaries.
* collinear points room points the lie top top the very same straight line. Coplanar points are points that line in the same plane.