Geometry Chapter 1 Part 2

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"These theorems, together with the postulates and defined and undefined terms, are used to "prove" other theorems. Here, "to prove" simply means to use a logical chain of reasoning to show how undefined terms, definitions, postulates, and previously established theorems lead to a new generalization." "Undefined Terms Table1.1 lists some undefined terms Table 1.1 Undefined Term Description Notation 'Point' A 'point' indicates position; dot A it has no length, width, or depth." "A 'point' is named by a single capital letter. 'Line' A 'line' is a set of continuous <_____. ________ . _____>"l" (all connected) points that A B extend indefinitely in "A "line" is identified by naming either direction." two points on the line and ____ and drawing a line over the letters: (with arrows at the end of the line) AB Alternatively, a line may be named by using a single lowercase letter, line "l"" "'Plane' A 'plane' is a set of points that __________________ . forms a flat surface that has no / P / depth and that extends / (lines connected)/ indefinitely in all directions." /_________________/ "A 'plane' is usually represented as a closed four-sided figure and is named by placing a capital letter at one of the corners." (Continue in the next lesson.)