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Geometry Fundamentals: Points, Lines, and Planes in Space

Learn how to identify and model points, lines, and planes, as well as collinear and coplanar points in space. Understand the concept of intersecting lines and planes, and master naming conventions and facts about each element. Practice identifying these geometric entities in Worksheet 1.1.

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Geometry Fundamentals: Points, Lines, and Planes in Space

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  1. Geometry Notes Section 1-1

  2. What you’ll learn • How to identify and model points, lines, and planes • How to identify collinear and coplanar points and intersecting lines and planes in space.

  3. Point-- A point is simply a location • Name it with a CAPITAL printed letter– you only have 26 choices • Draw it with a dot P • Fact: It has no shape—no thickness, width, or length—therefore it has no dimension • Words/Symbols: point P

  4. Line– made up of points • Name it with • With 2 points on the line • a lowercase cursive letter– again 26 choices n • Draw it with arrows A • Fact: There is exactly one line through any two points • Words/Symbols: • Line AB, line BA • n • AB or BA B Collinear points are points that lie on the same line ↔ ↔

  5. Plane—flat surface made up of points • Name it with • With 3 noncollinear points • a CAPITOL CURSIVE letter– again 26 choices B • Draw it with a shaded, slanted, 4-sided figure A C • Fact: There is exactly one plane through 3 noncollinear points • Words/Symbols: • CAT • B T Coplanar points are points that lie on the same plane

  6. Examples

  7. Have you learned? • How to identify and model points, lines, and planes • How to identify collinear and coplanar points and intersecting lines and planes in space. • Your assignment is Worksheet 1.1

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