Ch 9 Practice B Pt2 Ans

,%33/.
-FTTPO1SBDUJDF-FWFM#
*À>V̈ViÊ
*À>V̈ViÊÊ CONTINUED
,%33/.
&OR USE WITH PAGES n
]
]
/…iÊi˜`«œˆ˜ÌÃʜvÊ
Ê
Ê Êz>ÀiÊ
­£]ÊÓ®Ê>˜`Ê ­x]Ê{®°ÊÀ>«…Ê̅iʈ“>}iʜvÊ
Ê
Ê Êz>vÌiÀÊ
̅iÊ}ˆ`iÊÀiyÊiV̈œ˜°
Ê £°Ê /À>˜Ã>̈œ˜\ X Y l X Y
,iyÊiV̈œ˜\ IN THE XAXIS
Ó° /À>˜Ã>̈œ˜\ X Y l X Y ,iyÊiV̈œ˜\ IN Y X
&OR USE WITH PAGES n
iÃVÀˆLiÊ̅iÊVœ“«œÃˆÌˆœ˜ÊœvÊÌÀ>˜ÃvœÀ“>̈œ˜Ã°
ǰ
Ê Î°Ê /À>˜Ã>̈œ˜\ X Y l X Y ,iyÊiV̈œ˜\ IN THE YAXIS
{° /À>˜Ã>̈œ˜\ X Y l X Y ,œÌ>̈œ˜\ ABOUT THE ORIGIN
Ê ™° ! TRANSLATION MAPS !"zONTO WHICH SEGMENT
’
Ê£ä° 7HICH LINES ARE PERPENDICULAR TO ""
]
Ê££° .AME TWO SEGMENTS PARALLEL TO !!z
!"z
K AND M
’""
’
""
WHAT IS THE LENGTH OF !!z CM
ʣΰ )S THE DISTANCE FROM ! TO M THE SAME AS THE
ˆ˜`Ê̅iÊ>˜}iʜvÊÀœÌ>̈œ˜Ê̅>Ìʓ>«ÃÊʜ˜ÌœÊ°
£{° £x° ]
À>«…ÊÊ Êz
Ê>vÌiÀÊ>ÊVœ“«œÃˆÌˆœ˜ÊœvÊ̅iÊÌÀ>˜ÃvœÀ“>̈œ˜Ãʈ˜Ê̅iʜÀ`iÀÊ̅iÞÊ
>ÀiʏˆÃÌi`°Ê/…i˜Ê«iÀvœÀ“Ê̅iÊÌÀ>˜ÃvœÀ“>̈œ˜Ãʈ˜ÊÀiÛiÀÃiʜÀ`iÀ°ÊœiÃÊ̅iÊ
]
œÀ`iÀÊ>vviVÌÊ̅iÊwʘ>Êˆ“>}iÊÊ Êz
ʶ
,iyÊiV̈œ˜\ IN THE LINE X /À>˜Ã>̈œ˜\ X Y l X Y YES
YES
HOW THE BORDER WAS CREATED USING ONE STENCIL FOUR TIMES
Ê
!FTER EACH PART WAS PAINTED THE STENCIL WAS MOVED THROUGH A GLIDE REmECTION REmECTION
IN A HORIZONTAL LINE AND TRANSLATION TO THE RIGHT TO PAINT THE NEXT PART
Ê£È°Ê -Ìi˜Vˆˆ˜}Ê>ʜÀ`iÀÊ 4HE BORDER PATTERN BELOW WAS MADE WITH A STENCIL $ESCRIBE
'EOMETRY
#HAPTER 2ESOURCE "OOK
'EOMETRY
#HAPTER 2ESOURCE "OOK
*À>V̈ViÊ
,%33/.
&OR USE WITH PAGES n
iÌiÀ“ˆ˜iÊ܅i̅iÀÊ̅iÊwÊ}ÕÀiʅ>ÃÊÀœÌ>̈œ˜>ÊÃޓ“iÌÀÞ°ÊvÊÜ]Ê`iÃVÀˆLiÊ̅iÊ
ÀœÌ>̈œ˜ÃÊ̅>Ìʓ>«Ê̅iÊwÊ}ÕÀiʜ˜ÌœÊˆÌÃiv° £q {°Ê3EE BELOW
£°
Ó°
ΰ
Ê x°Ê z z YES
Ȱ z z NO NO
z
z
z
*À>V̈ViÊÊ CONTINUED
&OR USE WITH PAGES n
£x° !N OCTAGON WITH EXACTLY TWO LINES
£È° ! QUADRILATERAL WITH EXACTLY FOUR LINES
OF SYMMETRY
OF SYMMETRY
{°
œiÃÊ̅iÊwÊ}ÕÀiʅ>ÛiÊ̅iÊÀœÌ>̈œ˜>ÊÃޓ“iÌÀÞÊŜܘ¶ÊvʘœÌ]Ê`œiÃÊ̅iÊ
wÊ}ÕÀiʅ>ÛiÊ>˜ÞÊÀœÌ>̈œ˜>ÊÃޓ“iÌÀÞ¶
z
Ȱ & ' ,œÌ>̈œ˜\ ABOUT THE ORIGIN
,iyÊiV̈œ˜\ IN THE YAXIS
DISTANCE FROM ! TO M %XPLAIN
YES DElNITION OF REmECTION
Ê x°Ê & ' ]
]
˜Ê̅iÊ`ˆ>}À>“]ʎ I “]ÊÊÊzˆÃÊÀiyÊiVÌi`ʈ˜Êˆ˜iʎ]Ê>˜`ÊÊ ÊzˆÃÊÀiyÊiVÌi`Ê
ˆ˜Êˆ˜iʓ°
]
]
Ê£Ó° )F THE DISTANCE BETWEEN K AND M IS CENTIMETERS
ROTATION ABOUT FOLLOWED BY
THE TRANSLATION X Y l X Y ]
/…iÊÛiÀ̈ViÃʜvÊNg
Ê>ÀiÊ­Î]Ê£®]Ê­£]Êx®]Ê>˜` ­x]Êή°ÊÀ>«…Ê̅iʈ“>}iʜvÊ
Ng
Ê>vÌiÀÊ>ÊVœ“«œÃˆÌˆœ˜ÊœvÊ̅iÊÌÀ>˜ÃvœÀ“>̈œ˜Ãʈ˜Ê̅iʜÀ`iÀÊ̅iÞÊ>ÀiʏˆÃÌi`°
2EmECTION IN Y ]z FOLLOWED BY
ROTATION ABOUT ,%33/.
--" ʙ°x
--" ʙ°x
n°
ǰ z z YES
z
ʣǰ 0APER &OLDING ! PIECE OF PAPER IS FOLDED IN
HALF AND SOME CUTS ARE MADE AS SHOWN 7HICH
lGURE REPRESENTS THE PIECE OF PAPER UNFOLDED "
°
°
°
°
z
˜ÊÝiÀVˆÃiÃÊ£nÊ>˜`Ê£™]ÊÕÃiÊ̅iÊvœœÜˆ˜}ʈ˜vœÀ“>̈œ˜°
Ê n°Ê z z NO YES z
z
™° z z YES
z
z
£ä° z z NO NO
z
z
4AJ -AHAL 4HE 4AJ -AHAL LOCATED IN )NDIA WAS BUILT
BETWEEN AND BY THE EMPEROR 3HAH *AHAN AS
A MONUMENT TO HIS WIFE 4HE mOOR MAP OF THE 4AJ -AHAL
IS SHOWN
Ê£n° (OW MANY LINES OF SYMMETRY DOES THE mOOR
˜ÊÝiÀVˆÃiÃÊ££q£È]Ê`À>ÜÊ>ÊwÊ}ÕÀiÊvœÀÊ̅iÊ`iÃVÀˆ«Ìˆœ˜°ÊvʘœÌÊ«œÃÈLi]ÊÜÀˆÌiÊ
˜œÌÊ«œÃÈLi°
££° ! TRIANGLE WITH EXACTLY TWO LINES
OF SYMMETRY NOT POSSIBLE
--" ʙ°È
--" ʙ°È
MAP HAVE Ê£™° $OES THE mOOR MAP HAVE ROTATIONAL SYMMETRY
)F SO DESCRIBE A ROTATION THAT MAPS THE PATTERN
ONTO ITSELF 9ES 4HE mOOR MAP CAN BE ROTATED
OR ABOUT ITS CENTER
£Ó° ! QUADRILATERAL WITH EXACTLY TWO LINES
OF SYMMETRY
˜ÊÝiÀVˆÃiÃÊÓäÊ>˜`ÊÓ£]ÊÕÃiÊ̅iÊvœœÜˆ˜}ʈ˜vœÀ“>̈œ˜°
$RAINS 2EFER TO THE DIAGRAM BELOW OF A DRAIN IN A SINK
ÊÓä° $OES THE DRAIN HAVE ROTATIONAL SYMMETRY )F
£Î° ! PENTAGON WITH EXACTLY TWO LINES
OF SYMMETRY NOT POSSIBLE
£{° ! HEXAGON WITH EXACTLY TWO LINES
OF SYMMETRY
£° YES A ROTATION OF OR ABOUT ITS CENTER
Ó° YES A ROTATION OF OR ABOUT ITS CENTER
ΰ YES A ROTATION OF OR ABOUT ITS CENTER
{° YES A ROTATION OF OR ABOUT ITS CENTER
&
'EOMETRY
#HAPTER 2ESOURCE "OOK
SO DESCRIBE THE ROTATIONS THAT MAP THE IMAGE
ONTO ITSELF 9ES 4HE IMAGE CAN BE MAPPED ONTO ITSELF WITH
A ROTATION OF OR ABOUT ITS CENTER
ÊÓ£° 7OULD YOUR ANSWER TO %XERCISE CHANGE
IF YOU DISREGARD THE SHADING OF THE lGURES
%XPLAIN YOUR REASONING
9ES THE ANSWER WOULD CHANGE TO A ROTATION OF OR ABOUT ITS CENTER 4HIS IS BECAUSE THE WHITE
lGURES CAN BE MAPPED ONTO THE SHADED lGURES
'EOMETRY
#HAPTER 2ESOURCE "OOK
*À>V̈ViÊ
,%33/.
Ó°
Ê££° 4RANSLATION X Y l X Y $ILATION CENTERED AT THE ORIGIN WITH A SCALE FACTOR OF ]z
z REDUCTION X K]
Ê
K ENLARGEMENT X Y 1ÃiÊ̅iʜÀˆ}ˆ˜Ê>ÃÊ̅iÊVi˜ÌiÀʜvÊ̅iÊ`ˆ>̈œ˜Ê>˜`Ê̅iÊ}ˆÛi˜ÊÃV>iÊv>V̜ÀÊ̜Ê
wʘ`Ê̅iÊVœœÀ`ˆ˜>ÌiÃʜvÊ̅iÊÛiÀ̈ViÃʜvÊ̅iʈ“>}iʜvÊ̅iÊ«œÞ}œ˜°
ΰ K {° K ]z
- . , &OR USE WITH PAGES n
/…iÊÛiÀ̈ViÃʜvÊ^ Ê>ÀiÊ­£]Ê£®]Ê ­Î]Êx®]Ê
­££]Êx®]Ê>˜`Ê ­™]Ê£®°ÊÀ>«…Ê̅iÊ
ˆ“>}iʜvÊ̅iÊ«>À>iœ}À>“Ê>vÌiÀÊ>ÊVœ“«œÃˆÌˆœ˜ÊœvÊ̅iÊÌÀ>˜ÃvœÀ“>̈œ˜Ãʈ˜Ê
̅iʜÀ`iÀÊ̅iÞÊ>ÀiʏˆÃÌi`°
ˆ˜`Ê̅iÊÃV>iÊv>V̜À°Ê/iÊ܅i̅iÀÊ̅iÊ`ˆ>̈œ˜ÊˆÃÊ>ÊÀi`ÕV̈œ˜ÊœÀÊ>˜Ê
i˜>À}i“i˜Ì°Ê/…i˜Êwʘ`Ê̅iÊÛ>ÕiÃʜvÊ̅iÊÛ>Àˆ>Lið
£°
*À>V̈ViÊÊ CONTINUED
,%33/.
&OR USE WITH PAGES n
'z|]
zz ] z ( )z| ] z
Ê£Ó° $ILATION CENTERED AT THE ORIGIN WITH A SCALE FACTOR OF x° K Ê
zz ] z 1 0z|]
2z|]
zz 3z| ]z
Ȱ K ]z
! " # $ Ê 2EmECTION IN THE XAXIS
Ê
n° ! ! " " K # ™° ! ! " " K ] z # £ä° ! ! " " 'EOMETRY
#HAPTER 2ESOURCE "OOK
&LASHLIGHT )MAGE 9OU ARE PROJECTING IMAGES ONTO A WALL WITH A mASHLIGHT 4HE LAMP OF
THE mASHLIGHT IS CENTIMETERS AWAY FROM THE WALL 4HE PREIMAGE IS IMPRINTED ONTO A
CLEAR CAP THAT lTS OVER THE END OF THE mASHLIGHT 4HIS CAP HAS A DIAMETER OF CENTIMETERS
4HE PREIMAGE HAS A HEIGHT OF CENTIMETERS AND THE LAMP OF THE mASHLIGHT IS LOCATED
CENTIMETERS FROM THE PREIMAGE
£Î° 3KETCH A DIAGRAM OF THE DILATION
Ê£{° &IND THE DIAMETER OF THE CIRCLE OF LIGHT
LՏL
«Àiˆ“>}i ˆ“>}i
VˆÀVi
œv
ˆ}…Ì
PROJECTED ONTO THE WALL FROM THE mASHLIGHT ABOUT CM
--" ʙ°Ç
--" ʙ°Ç
Ê`ˆ>̈œ˜Ê“>«ÃÊÊ̜ÊÊ>˜`ÊÊÌœÊ °Êˆ˜`Ê̅iÊÃV>iÊv>V̜ÀʜvÊ̅iÊ`ˆ>̈œ˜°Ê
ˆ˜`Ê̅iÊVi˜ÌiÀʜvÊ̅iÊ`ˆ>̈œ˜°
ǰ ! ! " " K ]z # ˜ÊÝiÀVˆÃiÃÊ£Îq£x]ÊÕÃiÊ̅iÊvœœÜˆ˜}ʈ˜vœÀ“>̈œ˜°
Ê£x° &IND THE HEIGHT OF THE IMAGE PROJECTED
ONTO THE WALL ABOUT CM
K # 'EOMETRY
#HAPTER 2ESOURCE "OOK
'