chapter 1: tools of geometry
DESCRIPTION
Lesson 1: Points, Lines and Planes. Chapter 1: Tools of Geometry. 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 - PowerPoint PPT PresentationTRANSCRIPT
Chapter 1: Tools of Geometry
Lesson 1: Points, Lines and Planes
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
Copy the notes into the foldable.
Model Drawn Named By Facts Words/Symbols
Examples
Point
As a dot A capitol
letterA 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 nline 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 Splane XYZplane XZYplane ZXYplane ZYXplane YXZplane YZX
P
AB
XYZ
S
n
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
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
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.