Notes from 9/5 September 5, 2012 • Seats, Syllabus, Textbook • Sec 1.1: The Building Blocks of Geometry: Points, Lines, Planes etc. Objectives: • We will explore basic geometry terms and notations. • Investigate postulates about points, lines, and planes. Notes from 9/5 Point A point describes a location, but has no size. Ex: Notation Written with only capital letters Diagram Notes from 9/5 Line or Straight line: • Infinite number of points • Extends infinitely far in both directions (Infinite length) • No thickness • Ex: Notation Two points on the line with double arrow bar above or lowercase letter Diagram Notes from 9/5 Plane: A plane is a flat surface that extends infinitely in all directions. Ex: Notation 1) Three noncollinear points OR 2) Cursive capital letter Diagram Notes from 9/5 Space: Space is the set of all points. Collinear Points: Points that lie on the same line Noncollinear Points: points that do not lie on the same line. Notes from 9/5 Coplanar: points that lie on the same plane Noncoplanar: points that do not lie on the same plane Notes from 9/5 Segment: A part of a line that begins at one point and ends at another Essentially two endpoints and the line in between Ex: Notation Two points on segment with a bar over it. Diagram Segment vs. Distance (Segment Measure) Notes from 9/5 Ray: A ray is a part of a line that starts at one point (endpoint) and extends infinitely in one direction. Ex: Notation Two points on the ray Order matters!!! Diagram
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