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POLYGONS AND

RELATEDCONCEPTSMADE BY- FRANSHU

GRADE 10 DARWIN

ROLL NO. 14

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WHAT ARE POLYGONS?• A clos! "l#$ %&'( )#! '" o* s+(#l l,$ s&)$s

 /o,$! o&(. T s,!s !o $o c(oss #c o(. E#c

s,!s ) # +( +(.

•  T(,#$&ls3 '#!(,l#(#ls3 "$#&o$s3 #$! #&o$s #( #

#)"ls o* "ol&o$s.

  Polygon  Not # Pol&o$5s(#,& s,!s3

clos! %&'(65#s # c'(+6

  Not #Pol&o5o"$3

clos!

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POLYGON PARTS•Side - o$ o* l,$ s&)$s # )#7 '" "ol&o$.•Vertex - "o,$ 2( 2o s,!s ). T2o o()o( o* s "o,$s #( c#ll! +(,cs.•Diagonal - # l,$ co$$c,$& 2o +(,cs# ,s$8 # s,!.•Interior Angle - A$&l *o()! 9 2o#!/#c$ s,!s ,$s,! "ol&o$.•Exterior Angle - A$&l *o()! 9 2o#!/#c$ s,!s o's,! "ol&o$.

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POLYGON FORMULAS

• 5N : ; o* s,!s #$! S : l$& *(o) c$( o # co($(6

• Area o* # (&'l#( "ol&o$ : 510@

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TYPES OF POLYO

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REGULAR OR IRREGULA• A regular "ol&o$ #s #ll #$&ls '#l #$! #ll s,!s '#l

o(2,s , ,s irregular!

  "egular #olygon Irregula

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SIMPLE OR COMPLE• A sim#le "ol&o$ #s o$l o$ 9o'$!#(3 #$! , !os$8 c(os

,sl*. A $om#lex "ol&o$ ,$(scs ,sl* M#$ ('ls #9o'

!o$8 2o(7 2$ , ,s co)"l.

 Co)"l Pol&o$ S,)"l

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EUALITY AND SYMMET• E&uiangular #ll co($( #$&ls #( '#l.

• 'y$li$ #ll co($(s l, o$ # s,$&l c,(cl3 c#ll! c,(c')c,(cl.

• Isogonal or %ertex(transiti%e #ll co($(s l, 2,,$ s#) s))( o(9

"ol&o$ ,s #lso ccl,c #$! ',#$&'l#(.

• E&uilateral #ll !&s #( o* s#) l$&. T "ol&o$ $! $o 9 co$+

• Tangential #ll s,!s #( #$&$ o #$ ,$sc(,9! c,(cl.

• Isotoxal or edge(transiti%e) #ll s,!s l, 2,,$ s#) s))( o(9,. T

#lso ',l#(#l #$! #$&$,#l.

• "egular "ol&o$ ,s 9o isogonal #$! isotoxal. E',+#l$l3 , ,s 9o cyc

equilateral3 o( 9o equilateral #$! equiangular . A $o$-co$+ (&'l#( "ol&o$

regular star polygon.

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TYPES OF POLYONON T*E +ASIS OF

N,-+E" OF SIDES

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 TRIANGLE• A triangle ,s # "ol&o$ 2, ( !&s #$! ( +(,cs. I ,s o$ o*

s#"s ,$ &o)(. A (,#$&l 2, +(,cs A3 B3 #$! C ,s !$o!

E',l#(#l T(,#$&l Isoscls T(,#$&l Sc(,#$&l

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UADRILATERAL• A &uadrilateral ,s # "ol&o$ 2, *o'( !&s 5o( s,!s6 #$! *o'( +

co($(s.

  S'#( ,

  Rc#$&l T(#",')

  P#(#lllo&(#) I((&'l#( '#

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OTHERS• Pol&o$s c#$ #+ ,$%$,l )#$ s,!s. So) o( "ol&o$s

  P$#&o$ H#&o$ S

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