Chapter 1: Tools of Geometry

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Presentation transcript:

Chapter 1: Tools of Geometry Lesson 1: Points, Lines and Planes Chapter 1: Tools of Geometry

Definitions Point- represents a location Line- made up of points and has no thickness or width, extends infinitely at both ends (cannot be measured) Collinear- points on the same line Plane- flat surface made from points that has no depth and extends in all directions infinitely Coplanar- points or lines on the same plane Space- boundless, 3-D set of all points that contains lines and planes Definitions

Copy the notes into the foldable. Model Drawn Named By Facts Words/ Symbols Examples Point As a dot A capitol letter A point has neither size nor shape point P Line With an arrowhead at both ends Two letters representing points on the line- or the script letter There is exactly 1 line through any two points line n line AB line BA Plane As a shaded, slanted, 4-sided figure A capital script letter or by any three letters of non-collinear points There is exactly 1 plane through any three non-collinear points plane S plane XYZ plane XZY plane ZXY plane ZYX plane YXZ plane YZX P n B A X Y Z S

Examples A. Use the figure to name a line containing point K. B. Use the figure to name a plane containing point L. C. Use the figure to name the plane two different ways. Examples

Examples A. Name the geometric shape modeled by a 10  12 patio. B. Name the geometric shape modeled by a water glass on a table. C. Name the geometric shape modeled by a colored dot on a map used to mark the location of a city. D. Name the geometric shape modeled by the ceiling of your classroom. Examples

Examples

Examples A. How many planes appear in this figure? B. Name three points that are collinear. C. Are points A, B, C, and D coplanar? Explain. Examples