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### Section 1

1. 1. 1.1 Points, Lines, and Planes
2. 2. Objective <ul><li>Identify and model points, lines, and planes </li></ul><ul><li>Identify collinear and coplanar points and intersecting lines and planes in space. </li></ul>
3. 3. Name Points, Lines, and Planes <ul><li>In geometry, point, line, and plane are considered undefined terms because they are only explained using examples and descriptions. </li></ul><ul><li>A point is simply a location </li></ul><ul><li>A line is made up of points and has no thickness or width. </li></ul><ul><ul><li>Points on the same line are said to be colinear . </li></ul></ul><ul><li>A plane is a flat surface made up of points. Points that lie on the same plane are said to be coplanar. </li></ul><ul><ul><li>A plane has no depth and extends infinitely in all directions. </li></ul></ul>
4. 4. Question <ul><li>What is the difference between coplanar and collinear points? </li></ul><ul><li>Coplanar means that the points in question all lie in one plane. Collinear means that the points in question all lie on one line. </li></ul>
5. 5. Point <ul><li>Model: . P </li></ul><ul><li>Drawn as: a dot </li></ul><ul><li>Named by: a capital letter </li></ul><ul><li>Facts: A point has neither shape nor size </li></ul><ul><li>Words/Symbols: Point P. </li></ul><ul><li>The above is called point P. </li></ul>
6. 6. Line <ul><li>Model: n </li></ul><ul><li>Drawn: with an arrowhead at each end </li></ul><ul><li>Named by: the letters representing two points on the line or a lowercase script letter. </li></ul><ul><li>Facts: There is exactly one line through any two points. </li></ul><ul><li>Words/Symbols: line n, line AB or , line BA or . </li></ul>
7. 7. Plane <ul><li>Model: </li></ul><ul><li>Drawn: as a shaded, slanted 4-sided figure. </li></ul><ul><li>Named by: a capital script letter or bu the letters naming three noncollinear points </li></ul><ul><li>Facts: there is exactly one plane through any three noncollinear points </li></ul><ul><li>Words/Symbols: plane T. </li></ul>
8. 8. Examples <ul><li>Use the figure to name each of the following: </li></ul><ul><ul><li>A line containing point A </li></ul></ul><ul><ul><li>A line containing point I </li></ul></ul>
9. 9. Examples <ul><li>Use the figure to name a plane containing point D </li></ul>
10. 10. Example <ul><li>Name the geometric shape modeled by each object. </li></ul><ul><ul><li>A 10x12 patio </li></ul></ul><ul><ul><li>A water glass on a table </li></ul></ul>
11. 11. Draw and label a figure for each