Line (= in nite straight line) Angle (determined by three points A; B; C, with A 6= C and B 6= C) Distance between two points. Ex. A AB B. AB A B. Opposite rays – Have same endpoint and extend in opposite directions. There are plenty of ways in which teachers can make teaching Terms that can be defined using point, line, and plane Consists ofendpoints; Part of a line The end of a segment or ray Half a line, consists Line – extends in one “dimension”. Because these terms cannot be mathematically defined using other known words, they Geometry Section Lesson. UNDEFINED TERMS In Euclidean Geometry, the geometric terms point, line, and plane are all undefined terms and are purely mental concepts or ideas. “Undefined” terms. However, even if we don’t formally define them, we can, of course, describe these terms. Ex. Rays AB and AC are opposite rays. We will start with the following unde ned terms Point. However, we can use The Undefined Terms of Geometry. sure of an angleWe'll write AB for the distance between two points A and B, and we'll write m\ABC for the measu “Undefined” terms Terms such as point, line, and plane are classified as undefined because they do not fit into any set or category that has been previously determinedDefinitions (defined terms) The four characteristics of a good definition areIt names the term being defined;It places the term into a set or category; 3 In geometry, these are point, line, plane, and space. There are also relationships like between that are not formally defined but are merely described or illustrated. Terms such as point, line, and plane are classified as undefined Defined terms use “known words” to describe a new word. The four parts of a mathematical system are: Vocabulary. Intersection – set of points the figure have in common 1 Unde ned terms. There are three such undefined terms, including point, line, and plane. Undefined terms of Geometry) Point – no “dimension” (direction) 2) Line – extends in one “dimension” AB A B 3) Geometry depends on a common understanding of terms such as point, line, and plane. The undefined terms of geometry serve as the building blocks for defining other terms. However, we can use Mathematical Systems. A. UNDEFINED TERMS In Euclidean Geometry, the geometric terms point, line, and plane are all undefined terms and are purely mental concepts or ideas. Plane – two “dimensions” Plane ABC or plane M. Line Segment – Has two endpoints. A.
Line (= in nite straight line) Angle (determined by three points A; B; C, with A 6= C and B 6= C) Distance between two points. Ex. A AB B. AB A B. Opposite rays – Have same endpoint and extend in opposite directions. There are plenty of ways in which teachers can make teaching Terms that can be defined using point, line, and plane Consists ofendpoints; Part of a line The end of a segment or ray Half a line, consists Line – extends in one “dimension”. Because these terms cannot be mathematically defined using other known words, they Geometry Section Lesson. UNDEFINED TERMS In Euclidean Geometry, the geometric terms point, line, and plane are all undefined terms and are purely mental concepts or ideas. “Undefined” terms. However, even if we don’t formally define them, we can, of course, describe these terms. Ex. Rays AB and AC are opposite rays. We will start with the following unde ned terms Point. However, we can use The Undefined Terms of Geometry. sure of an angleWe'll write AB for the distance between two points A and B, and we'll write m\ABC for the measu “Undefined” terms Terms such as point, line, and plane are classified as undefined because they do not fit into any set or category that has been previously determinedDefinitions (defined terms) The four characteristics of a good definition areIt names the term being defined;It places the term into a set or category; 3 In geometry, these are point, line, plane, and space. There are also relationships like between that are not formally defined but are merely described or illustrated. Terms such as point, line, and plane are classified as undefined Defined terms use “known words” to describe a new word. The four parts of a mathematical system are: Vocabulary. Intersection – set of points the figure have in common 1 Unde ned terms. There are three such undefined terms, including point, line, and plane. Undefined terms of Geometry) Point – no “dimension” (direction) 2) Line – extends in one “dimension” AB A B 3) Geometry depends on a common understanding of terms such as point, line, and plane. The undefined terms of geometry serve as the building blocks for defining other terms. However, we can use Mathematical Systems. A. UNDEFINED TERMS In Euclidean Geometry, the geometric terms point, line, and plane are all undefined terms and are purely mental concepts or ideas. Plane – two “dimensions” Plane ABC or plane M. Line Segment – Has two endpoints. A.
Français
English
Deutsch
Español
Italiano
Português