unknown Terms invernessgangshow.net Topical overview | Geometry rundown | MathBits" Teacher sources Terms the Use contact Person: Donna Roberts
In geometry, formal definitions are created using other characterized words or terms. There are, however, three words in geometry that space not formally defined. This words are point, line and also plane, and also are referred to as the "three undefined terms of geometry".
You are watching: Which is precisely defined using the undefined terms point and plane?
While these words space "undefined" in the formal sense, we can still "describe" these words. The descriptions, declared below, describe these indigenous in relationship to geometry.
POINT • a suggest indicates a place (or position) in space. • a suggest has no dimension (actual size). • a allude has no length, no width, and no height (thickness). • a allude is usually named with a funding letter. • in the name: coordinates plane, a suggest is named by an notified pair, (x,y). if we represent a allude with a dot, the dot have the right to be an extremely tiny or an extremely large. Remember, a allude has no size.
The dimension of the dot attracted to represent a point makes no difference. Points have no size. They simply represent a location.
LINE (straight line) • a line has no thickness. • a line"s length extends in one dimension. • a line goes top top forever in both directions. • a line has actually infinite length, zero width, and also zero height. • a line is assumed to it is in straight. • a heat is attracted with arrowhead on both ends. • a line is named by a single lowercase script letter, or by any type of two (or more) points i beg your pardon lie top top the line.
Lines can be labeled with 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 2 dimensions. • a airplane forms a flat surface expanding indefinitely in all directions. • a plane has boundless length, boundless width and zero elevation (thickness). • a aircraft is attracted as a four-sided figure resembling a tabletop or a parallelogram. • a plane is called by a solitary letter (plane m) or by 3 coplanar, but non-collinear,* clues (plane ABC).
plane m or plane ABC. While the chart of a aircraft has edges, you should remember that the aircraft actually has no boundaries.
* collinear points are points the lie top top the exact same straight line. Coplanar points space points that line in the very same plane.