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

2. 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

3. 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

4. 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

5. 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

6. Examples

7. 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