Download Notes: Angles of Polygons • Concave vs. Convex:

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

page
1
page
2
Document related concepts
no text concepts found
Transcript 
Notes:AnglesofPolygons
Polygons:simple,closedfigureformedby3ormorecoplanarlinesegments;sidesmeetatendpoints
Eachsegmentthatformsapolygonisa_________________
Thecommonendpointoftwosidesisa________________
_____________________:linesegmentthatjoinstwononconsecutivevertices
Youcannameapolygonbythenumberofitssides.Completethetable.
Numberofsides
Polygon
Numberofsides
Polygon
3
8
4
9
5
10
6
12
7
n
Tellwhetherthefigureisapolygon.Ifitisapolygon,nameitbythenumberofsides.
Allthesidesarecongruentinanequilateralpolygon.Alltheanglesarecongruentinanequiangularpolygon.A
_____________polygonisonethatisbothequilateralandequiangular.Ifapolygonisnotregular,itiscalled
______________________.
•Concavevs.Convex:
Apolygonis_____________ifanypartofadiagonalcontainspointsintheexterior
ofthepolygon.
Ifnodiagonalcontainspointsintheexterior,thenthepolygonis__________.
A_______________polygonisalwaysconvex.
Tellwhetherthepolygonisregularorirregular.Tellwhetheritisconcaveorconvex.Namethepolygonaccordingtothe
numberofsides.
______________
_______________
________________
______________
_______________
________________
______________
_______________
________________
Name
(number of
sides)
PolygonAngleSumTheorem
Thesumoftheinterioranglemeasuresofaconvexpolygonwithnsidesis(n-2)180°.
PolygonExteriorAngleSumTheorem
Diagram
(draw
diagonals)
How many
triangles
formed?
Interior angle
sum
Each interior
angle
Exterior angle
sum
Each
exterior
angle
ExA.Findx:
*REMEMBERIfregularpolygonthenallanglesarecongruent
TofindEACHinteriorangle(ofaregularpolygon
-findthesumandthendivideby#ofsides
ExB.Findthemeasureofeachinteriorangleofaregular16-gon.
ExC.Themeasureofaninteriorangleofaregularpolygonis140°.Howmanysidesthepolygonhave?
ExD.Findthevalueofx:
Related documents