The last undefinedterm isplane. You can thinkof a planeas a hugesheetof paper—sobig that it goeson
forever!Imaginethe paperas thin as possible,and extendit up, down,left, and right.Planescan be named
by letter, or by threepointsthat lie in the plane.You alreadyknowone planefrom your algebraclass—the
-coordinateplane.Planesare calledtwo-dimensional,sinceany pointon a planecan be describedby
two numbers,calledcoordinates,as you learnedin algebra.
NotationNotes: As new termsare introduced,notationnoteswill help you learnhow to write and say them.
1.Pointsare namedusinga singlecapitalletter. The first imageshowspoints , , and.
2.
In the imageof a line, the sameline has severalnames.It can be called“line ”, , or. The
orderof the lettersdoesnot matterwhennaminga line, so the sameline can havemanynames.When
usingtwo pointsto namea line, you mustuse the line symbol abovethe letters.
- Planesare namedusinga script(cursive)letteror by namingthreepointscontainedin the plane.The
illustratedplanecan be calledplane or “the planedefinedby points , , and .”
Example 1
Whichterm best describeshow San Diego,California,wouldbe representedon a globe?
A. point
B. line
C. plane
A city is usuallylabeledwith a dot, or point,on a globe.Thoughthe city of San Diegooccupiesspace,it is
reducedwhenplacedon the globe.Its labelis merelyto showa locationwith referenceto the othercities,
states,and countrieson a globe.So, the correctansweris A.
Example 2
Whichgeometricobjectbest modelsthe surfaceof a moviescreen?
(Source:http://commons.wikimedia.org/wiki/File:Airscreen.JPG;License:GNUFree Documentation)
A. point
B. line