Pembelajaran 2 Geometri Bidang Datar

OOO . Jifomwmn Jifomwmn Uicki Uickibmh bmhm{m m{mn n; Fi`ciw{o Kogmnf Gmwm{ M. \wmngm{ \wmngm{ J`cuiwin| J`cuiwin|oo \iwibm \iwibma a cicuib cicuibmhm mhm{o {o jifomw jifomwmn mn uickib uickibmhm mhm{mn {mn ; c`gyb c`gyb ono" ono" goam{m goam{mujm ujmn n Mngm Mngm gmumw gmumw cini{m cini{muj ujmn mn J`n|iu J`n|iu Fi`ciw Fi`ciw{o {o Kogmnf Kogmnf Gmwm{ Gmwm{ gmbmc gmbmc Uinib Uinibi|m i|momn omn cm|mbm cm|mbma a |i|ymo |i|ymo ginfmn kogmnf jihy{ymn cm|onf#cm|onf J`cuiwin|o Gm|m{ 

Cinfaowynf jibobonf |ifowofm" |ifo icumw" gmn bonfjm{mn ginfmn {ycy| gmn cinffynmjmnnm ynwyj cinibi|mojmn cm|mbma |iam{o#am{o"



Cinfaowynf bym| |ifowofm" |ifo icumw" gmn bonfjm{mn ginfmn {ycy| gmn cinffynmjmnnm ynwyj cinibi|mojmn cm|mbma |iam{o#am{o"

K. Y{momn Y{momn Cmwi{o Cmwi{o Fi`ciw{o Kogmnf Gmwm{ Gmbmc jiaogyumn |iam{o#am{o kmnmj gohycumo ki{kmfmo kinwyj#kinwyj kogmnf gmwm{" co|mbnm uiwmjmn bmamn ui{wmnomn. =. Yn|y{ Yn|y{#yn|y{ gmbmc gmbmc [ymnf [ymnf Wowoj

Wowoj mgmbma kmnfyn mnf cicuynmo gocin|o |mwy. Wowoj gon`wm|ojmn |ikmfmo n`jwma ! / mwmy ginfmn |obmnf !q/.

Fm{o| By{y|

Fm{o Fm{o|| by{y by{y|| mg mgmb mbma ma km kmnf nfyn yn mnf mnf ki ki{g {goc ocin in|o |o |mwy |mwy"" m{wo m{won nm m |ymw |ymwy y km kmnf nfyn yn mnf mnf cicuynmo umnhmnf |mhm. Kmfomn#kmfomn fm{o| by{y| mgmbma8 

Fm{o|

Fm{o Fm{o|| wogm wogmj j ci cico cobo bojo jo km kmwm wm|" |" km kmoj oj ji jo{o jo{o cm cmyu yuyn yn ji jmnm jmnmn. n. Um Umnh nhmn mnf f fm fm{o {o|| wmj wmj ki{aonffm" jm{inm owy mnf gmumw gofmckm{ amnm vmjobnm |mhm.

=1

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Fmckm{ ;.= Fm{o|



\onm{

M Fmckm{ ;.; \onm{

Wowoj M gonm gonmcm cmjm jmn n wowo wowoj j um umnf nfjm jmb. b. Hmgo Hmgo"" |onm |onm{{ ci cicu cuyn ynm moo um umnf nfjm jmb" b" wiwm wiwmuo uo wogm wogmj j cicuynmo yhynf" |iaonffm umnhmnf |onm{ hyfm wmj wi{aonffm.



[ym| Fm{o|

Fmckm{ ;.< [ym| Fm{o|

[ym| fm{o| MK mgmbma kmfomn fm{o| mnf cicuynmo kmwm| M gmn K mnf cm|onf# cm|onf go|ikyw umnfjmb gmn yhynf mwmy yhynf#yhynf {ym| fm{o| MK . Jm{inm gokmwm|o" umnhmnf {ym| fm{o| gmumw goyjy{.

;. Kogmn Kogmnf f Gmwm{ Gmwm{ Kogmnf gmwm{ !go|ikyw kogmnf/ mgmbma |ymwy kmnfyn mnf cicuynmo gym gocin|o" mowy mowy |ymwy |ymwy kmnfyn kmnfyn mnf mnf cicuyn cicuynmo mo umnhmn umnhmnf f gmn bikm{ bikm{ mwmy mwmy ci{ ci{yum yumjmn jmn gmi gmi{ma {ma mnf cicuynmo bym|. L`nwà ;.=











B



Kogmnf B

Kogmnf 

Fmckm{ ;.7 L`nwà kinwyj kogmnf gmwm{

Nmcm kogmnf kom|mnm cinffynmjmn ay{yd lmuowmb J " B " C " ․ mwmy "  " " ․ mnf gowybo|jmn umgm |mbma |mwy u`h`jnm.

<. Hino|#hino| Hino|#hino| Kmnfy Kmnfyn n Gocin|o Gocin|o Gym m. \ifo \ifowo wofm fm Uinfi{womn \ifowofm

Kiki{mum uinfi{womn gmbmc |ifowofm mgmbma |ikmfmo ki{ojyw8 !o/ \ifowofm \ifowofm mgmbma |ymwy |ymwy kinwyj kogmnf mnf mnf wi{hmgo hojm wofm wowoj mnf wogmj wogmj |ifm{o| |ifm{o| goaykynfjmn |mwy |mcm bmonnm. !oo/ Fm{o|#fm{o| uinfaykynf uinfaykynf owy go|ikyw |o|o#|o|o |o|o#|o|o |ifowofm. !ooo/ Wowoj u`w`nf gym |o|o go|ikyw wowoj |ygyw. !ot/ Hycbma |ygyw#|ygyw gmbmc |ifowofm mgmbma =15 5.











L 



 

k w

 

M





l









K

Fmckm{ ;.9 L`nwà cibyjo| kmnfyn |ifowofm 

M " K " L go|ikyw wowoj |ygyw |ifowofm MKL !Wybo| 8

MKL /.



m" k" l go|ikyw |o|o#|o|o  MKL .



"  "  go|ikyw |ygyw gmbmc |ifowofm"       =15 5 .

M " K " gmn





MKL .

"







 

L mgmbma |ygyw bym{





Jibobonf

MKL  m k l .



Bym|  MKL  = l w . ;

Hino|#hino| |ifowofm ciny{yw |ygywnm

Ciny{yw |ygywnm" |ifowofm gokigmjmn cinhmgo8 !o/ \ifowofm \ifowofm bmnlou" bmnlou" hojm jiwofm jiwofm |ygywnm |ygywnm bmnlou !|ygyw2? !|ygyw2?5 5 5/: L











Fmckm{ ;.4. \ifowofm |ickm{mnf !oo/ |ifowofm |ifowofm |ojy#|ojy" |ojy#|ojy" hojm ki|m{ |mbma |mwy |ygywnm ?5 5: L

M

K

Fmckm{ ;.6. \ifowofm |ojy#|ojy

!ooo/ \ifowofm

wycuyb"

hojm

|mbma

|mwy

|ygywnm

mgmbma

!?552|ygyw2=155 /. L

M

K

Fmckm{ ;.1. \ifowofm ki{|ygyw wycuyb

k/ Hino|#h Hino|#hino| ino| |ifowo |ifowofm fm ciny{yw ciny{yw |o|on |o|onm m Ciny{yw |o|onm" |ifowofm gokigmjmn cinhmgo8 !o/ \ifowofm \ifowofm |ickm{mnf |ickm{mnf.. \odmw#|odmw8  MK  KL  



K

L L

|ygyw

wycuyb











L

K M

Fmckm{ ;.? \ifowofm |ickm{mnf

!oo/ \ifowofm \ifowofm \mcm Jmjo8 Jmjo8 \odmw#|odmw8  ML

LK

 M

K

5  M  K  L  =15

 Cicuynmo |mwy |ycky |ociw{o.  Gmumw cinicumwo konfjmonm ginfmn gym lm{m.  MG

GK

 LG  w 3 fm{o| wonffo" fm{o| kmfo" fm{o| ki{mw.

L

w

G

K













!ooo/ \ifowofm |mcm |o|o \odmw#|odmw8 

MK



M

KL K 

LM L

 Cicobojo wofm |ycky |ociw{o.  Cicobojo wofm |ociw{o kmboj  Cicobojo wofm |ociw{o uywm{  Gmumw cinicumwo konfjmonm ginfmn wofm lm{m.

L

w

G

Fmckm{ ;.== \ifowofm |ickm{mnf

7. Fm{o|#fm{ Fm{o|#fm{o| o| o|wocivm o|wocivm umgm umgm |ifowo |ifowofm fm !o/ Fm{o| Fm{o| Wonffo Wonffo Fm{o| wonffo mgmbma fm{o| mnf gowm{oj gm{o wowoj#wowoj |ygyw |ifowofm" wifmj by{y| umgm











L

W

K

Fmckm{ ;.=;. Fm{o| wonffo umgm |ifowofm !oo/ Fm{o| Ki{mw Fm{o| ki{mw mgmbma fm{o| mnf gowm{oj gm{o wowoj |ygyw |ifowofm ji ui{winfmamn |o|o go amgmumnnm. Wowoj X mgmbma wowoj ki{mw. L

X

M

K











L

@

K

Fmckm{ ;.=7. Fm{o| |ycky !ot/ Fm{o| kmfo Fm{o| kmfo mgmbma fm{o| mnf cickmfo |ymwy |ygyw cinhmgo gym kmfomn |mcm ki|m{. Wowoj C mgmbma wowoj kmfo. L

C











=/ Ui{|ifo Ui{|ifo mwmy mwmy Kyhy{ Kyhy{ \mnfjm{ \mnfjm{ \odmw#|odmw8  \o|o#|o|onm !\ / |mcm umnhmnf.  Cicuynmo icumw kyma |ygyw |ojy#|ojy.  Gomf`nmb#gomf`nmbnm |mcm umnhmnf ki{u`w`nfmn wifmj by{y| |mwy |mcm bmon.

Wowoj j u`w` u`w`nf nf gomf gomf`n `nmb mb ci cick ckmf mfoo gomf gomf`n `nmb mb ci cinh nhmg mgoo gym gym km kmfo fomn mn mnf mnf |mcm |mcm  Wowo umnhmnf.  Cicuynmo icumw |ycky |ociw{o.  Gmumw goum|mnfjmn ynwyj cinicumwo konfjmo ginfmn 1 lm{m.  Jibobonf 3 7 q \.  Bym| 3 \ q \.

\

\













Wowoj Wowoj u`w`nf u`w`nf gomf`n gomf`nmb mb#gomf #gomf`nm `nmbn bnm m cickmf cickmfoo gomf`n gomf`nmb mb cinhmg cinhmgoo gym kmfomn kmfomn mnf |mcm.



Cicuynmo gym |ycky |ociw{o.



Jibobonf 3 ; !U * B/.



Bym| 3 U q B. U

B

Fmckm{ ;.=6 Kmnfyn ui{|ifo umnhmnf

k/ Hmhm{mn Hmhm{mn Finhmnf Finhmnf Hmhm{mn finhmnf mgmbma |ymwy |ifo icumw mnf |o|o#|o|o ki{amgmumnnm |ihmhm{. \odmw8 

\o|o#|o|o mnf ki{amgmumn |mcm umnhmnf gmn |ihmhm{.



\ygyw#|ygyw mnf ki{amgmumn |mcm ki|m{.



Wowoj u`w`nf gomf`nmb cickmfo gomf`nmb cinhmgo gym kmfomn mnf |mcm.



Wogmj cicuynmo |ycky |ociw{o.



Cicuynmo |ociw{o |iwinfma uywm{mn.













G

M

L

K

Fmckm{ ;.=1. Kmnfyn hmhm{mn finhmnf

l/ Kibma Kibma Jiwyumw Jiwyumw Gidono Gid ono|o8 |o8 \ifo \ifo icumw icumw mnf mnf |o|o |o|o#|o|onm #|o|onm mnf mnf ki{ ki{gij gijmwm mwmn n mwmy mwmy ki{ ki{gmc gmcuon uonfmn fmn |mcm |mcm umnhmnf. \odmw8 

\o|o#|o|onm |mcm umnhmnf.



\ygyw#|ygyw mnf ki{amgmumn |mcm ki|m{.



\o|o#|o|o mnf ki{amgmumn |ihmhm{.



Gomf`nmb#gomf`nmbnm |mbonf cickmfo gym |mcm umnhmnf gmn cickmfo |ygyw# |ygyw cinhmgo gym kmfomn mnf |mcm.











A

J

O

B

H

Fmckm{ ;.=?. Kmnfyn kibma jiwyumw

g/ Bmmnf# Bmmnf#bmm bmmnf nf Gidono Gid ono|o8 |o8 \ifo \ifo icumw icumw mnf mnf |o|o |o|o#|o|onm #|o|onm mnf mnf ki{ ki{gij gijmwm mwmn n |ium|m |ium|mnf nf#| #|ium ium|mn |mnf f |mcm |mcm umnhmnf. \odmw8 

\o|o#|o|onm |ium|mnf |mcm umnhmnf.











A

J

O

B

Fmckm{ ;.;5. Kmnfyn bmmnf#bmmnf

i/ W{mui| W{mui|oyc oyc Gidono|o8 \ifoicumw mnf cicobojo wiumw |ium|mnf |o|o mnf |ihmhm{ mwmy |ifoicumw mnf wiumw |iumnhmnf |o|o mnf ki{amgmumn |ihmhm{. \odmw8 

\ium|mnf |o|o mnf ki{amgmumn. Gmumw cinicumwo konfjmonm ginfmn gym lm{m.











U

]

a

\

[

U

]

a

\

[

Fmckm{ ;.;=. Ki{kmfmo kinwyj Kmnfyn w{mui|oyc

d/ Bonf Bonfjm jm{m {mn n Bonfjm Bonfjm{mn {mn ombma ombma wicumw wicumw jigygy jigygyjmn jmn wowoj wowoj#wowo #wowoj j mnf mnf cicuyn cicuynmo mo hm{ hm{mj mj mnf mnf |mcm |mcm wi{amgmu wowoj wi{winwy.











KL 3 ky|y{ K@L 3 |ygyw uy|mw

Umnhmnf ky|y{ MLK 3 MLK 

 M@K

<45

5

 ;  {

Jibobonf 3 ;  { Bym| 3  { ; Bym| hy{onf M@K 

 M@K

<45

5

  { ;

9. Uinfyjy{m Uinfyjy{mn n \ygyw \ygyw =/ \mwymn \mwymn Gi{ Gi{mhm mhmww \ygyw uy|mw |ikyma bonfjm{mn gokmfo cinhmgo <45 kmfomn |mcm ki|m{. \mwy kmfomn" mowy

= kmfomn |ygyw uy|mw bonfjm{mn gonmcmjmn |mwy gi{mhmw" gmn gowybo| = 5. Hmgo" <45

ki|m{ |ygyw uy|mw |ikyma bonfjm{mn mgmbma <455 . ;/ \mwymn \mwymn [mgomn [mgomn

\mwy \mwy {mgomn {mgomn != {mg/ {mg/ mgm mgmbma bma ki|m{ ki|m{ |ygyw |ygyw uy|mw uy|mw bonfj bonfjm{m m{mn n mnf mnf cinfam cinfamgmu gmu ky|y{ ky|y{













@

= {mg

{

Fmckm{ ;.;;. \ygyw \mwy {mgomn

<455  ; {mgomn











Ui{|ifo

J  7|

Hmhm{finhmnf

J  ;MK  KL 

;

B  |

|

G

w

 M

B

MK  w













5

{

Bmmnf#bmmnf

Bonfjm{mn

J  ;MK  KL 

J

;{

B  = ML  KG ;

;

J  {











L. Wyfm| Wyfm| Jifomw Jifomwmn mn Uicki Uickibmh bmhm{m m{mn n; Fi`ciw{o Fi`ciw{o Kogmnf Kogmnf Gmwm{ m. Ji{hmjmn Ji{hmjmn |`mb#|`m |`mb#|`mbb ki{ojyw ki{ojyw ono n`. = |.g 7 k. Kymwbma 9 |`mb mnf ki{jmowmn ginfmn ginfmn kogmnf jihy{ymn cm|onf# cm|onf# cm|onf l. Jo{ocjmn Jo{ocjmn hmvmkmn hmvmkmn Mngm Mngm gmn wyfm| wyfm| |`mb ginfmn i#cmo i#cmobb ji 8 cagmconEma``.l`.og. |iwibma Mngm cinibi|mojmn uickibmhm{mn ono.

\`mb#|`mb

=. Gojiwm Gojiwmayo ayo

K

=9lc " KL

=5lc " gmn IL  = MK . Aowynfbma bym| gmi{ma <











=7 lc

; lc

<.













N`

Itoginli `d

Ongojmw`{

Bmi{nonf =

Wyfm| m

Mgmnm Hmvmkmn \`mb winwmnf Fi`ciw{o Kogmnf Gmwm{ !|`mb n` = |.g 7/

;

Wyfm| k

Mgmnm 9 |`mb mnf gokymw |i|ymo ginfmn kogmnf jihy{ymn cm|onf#cm|onf.

Pembelajaran 2 Geometri Bidang Datar

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