,,MCAP
,M>YL& ,COMPREH5SIVE ,ASSESS;T ,PROGRAM



,GEOMETRY
,TE/ ,BOOKLET



,PRACTICE ,TE/
,UNIFI$ ,5GLI% ,BRL "<,,UEB">
) ,NEME? ,CODE




,,MDPT#BE,,GEOV#A




,9 #A ,VOLUME
,BRL PAGES T#A-T#D1 P#A & #A-#GE
,PR9T PAGES #A-#DI                   T#A
            ,,MCAP ,GEOMETRY

           ,,,SPECIAL SYMBOLS
            US$ 9 ? VOLUME,'

.= ,DOT LOCATOR = 8M5;N10 PLAC$ 2F EA*
  SYMBOL 9 A LI/
.=@.< ,OP5+ TRANSCRIB]'S NOTE 9DICATOR
.=@.> ,CLOS+ TRANSCRIB]'S NOTE 9DICATOR
.=^1 ,BOLD ^W 9DICATOR
.=^7 ,BOLD PASSAGE 9DICATOR
.=^' ,BOLD T]M9ATOR
.=_% ,OP5+ ,NEME? ,CODE 9DICATOR
.=_: ,NEME? ,CODE T]M9ATOR "<,NEME?
  ,CODE SYMBOL">
.="< ,OP5+ P>5!SIS
.="> ,CLOS+ P>5!SIS
.=.7 ,ITALIC PASSAGE 9DICATOR
.=.' ,ITALIC T]M9ATOR
.=; ,GRADE #A SYMBOL 9DICATOR
.=,' ,CAPITALS T]M9ATOR
.=,' ,S+LE-^W SWIT* 9DICATOR "<,NEME?
  ,CODE SYMBOL">
.=,, ,CAPITALIZ$ ^W 9DICATOR
.=,,, ,CAPITALIZ$ PASSAGE 9DICATOR   T#B
            ,,MCAP ,GEOMETRY

        ,,TRANSCRIB]',S ,,NOTES

  ,"S ( ! PR9T TEXT IS RE^W$ = ! BRL
R1D]4
  ,PRO(S PR9T$ ) /EPS 9 COLUMNS H1D$
8,/ATE;TS0 & 8,R1SONS0 >E TRANSCRIB$ )
AN ;,S OR ;,R IMMLY FOLL[+ ! /EP NUMB]
TO %[ ! COLUMN 9 : ! /EP APPE>S4 ,/EPS F
! ,/ATE;TS COLUMN >E IMMLY FOLL[$ BY !
CORRESPOND+ /EP F ! ,R1SONS COLUMN4
  ,C>TESIAN COORD9ATE GRAPHS ) MULTIPLE
QUADRANTS >E TRANSCRIB$ 9 ,NEME? & W N 2
5CLOS$ 9 ,NEME? SWIT* 9DICATORS4
  ,? TE/ IS TRANSCRIB$ AC TO .7,! ,RULES
( ,UNIFI$ ,5GLI% ,BRL1 ,?IRD ,$I;N1
#BJBD4.'
  ,? TE/ IS TRANSCRIB$ AC TO .7,BRL
,=MATS3 ,PR9CIPLES ( ,PR9T-TO-,BRL
,TRANSCRIP;N1 #BJAF1.' ,M>* #BJBD
,UPDATE4
  ,MA!MATICAL 3T5T IS TRANSCRIB$ AC TO
.7,! ,NEME? ,BRL ,CODE = ,MA!MATICS &
,SCI;E ,NOTA;N1 #BJBB4.'             T#C
            ,,MCAP ,GEOMETRY
  ,ALL TACTILE GRAPHICS >E PREP>$ AC TO
! .7,GUIDEL9ES & ,/&>DS = ,TACTILE
,GRAPHICS1 #BJBB4.'




















                                     T#D
            ,,MCAP ,GEOMETRY       #A-#B
  ,COPY"R ^C #BJBE BY ! ,M>YL& ,/ATE
,DE"P;T ( ,$UCA;N "<,,MSDE">4 ,ANY O!R
USE OR REPRODUC;N ( ? DOCU;T1 9 :OLE OR
9 "P1 REQUIRES WRITT5 P]MIS.N F !
,,MSDE4


















                                     P#A
                 ,,MCAP            #C-#E
          ,M>YL& ,COMPREH5SIVE
           ,ASSESS;T ,PROGRAM
               ,GEOMETRY
             ,PRACTICE ,TE/

               ,SEC;N #A
          "<,NON-,CALCULATOR">

    ,DIREC;NS = ,TE/-,TAK] & ,RECORD]3
  ,TD1 Y W TAKE ,SEC;N #A ( ! ,GEOMETRY
,PRACTICE ,TE/4 ,Y W N 2 ALL[$ TO USE A
CALCULATOR4
  ,R1D EA* "Q4 ,!N1 FOLL[ ! DIREC;NS TO
ANSW] EA* "Q &1 IF APPROV$ = A RECORD]1
9DICATE YR ANSW] TO ! P]SON :O W RECORD
X ON AN ANSW] DOCU;T4 ,O!RWISE1 WRITE YR
ANSW] Z DIRECT$ BY YR TE/ ADM9I/RATOR4
,IF Y NE$ TO *ANGE AN ANSW]1 2 SURE TO
]ASE X COMPLETELY1 CROSS X \1 OR />T A
NEW L9E4 ,IF A "Q ASKS Y TO %[ OR EXPLA9
YR "W1 Y M/ D S TO RCV FULL CR$IT4 ,"W
D"O ON SCRAT* PAP] W N 2 SCOR$4
  ,IF Y D N "K ! ANSW] TO A "Q1 Y MAY G
ON TO ! NEXT "Q4 ,IF Y F9I% E>LY1 Y   #A
            ,,MCAP ,GEOMETRY         A#E
MAY REVIEW YR ANSW]S & ANY "QS Y DID N
ANSW] 9 ? ,SEC;N ,,ONLY4 ,D N G TO ANY
O!R ,SEC;N ( ! TE/4
  ,IF Y >E US+ ! BRL $I;N AL;G ) ANO!R
$I;N ( ! TE/1 Y MAY NOTICE "S SLI<T
DI6];ES 9 ! ^W+ ( "S 3T5T4 ,DI6];ES 9
^W+ 2T ^! $I;NS >E ! RESULT ( ADAPTA;NS
MADE = ! V>I\S TE/ =MATS4
  ,LIT]>Y TEXT IS PRODUC$ US+ ,UNIFI$
,5GLI% ,BRL "<,,UEB">1 & MA!MATICAL
NOTA;N IS PRODUC$ US+ ! LATE/ AM5D;T (
,! ,NEME? ,CODE = ,MA!MATICS & ,SCI;E
,NOTA;N4
  ,"S "QS REQUIRE Y TO SOLVE A PROBLEM &
9DICATE YR ANSW] TO ! P]SON :O W RECORD
X 9 AN ANSW] GRID ON ! ANSW] DOCU;T4
,O!RWISE1 Y W WRITE YR ANSW] Z DIRECT$
BY YR TE/ ADM9I/RATOR4 ,ANSW] GRIDS H
SEV5 SPACES 9 : TO RECORD EA* ANSW]4 ,NO
ANSW] *OICES >E PROVID$ = ^! "QS4



                                      #B
            ,,MCAP ,GEOMETRY          #F
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #A REF]S TO ! FOLL[+ 9=MA;N4^'
  ,GIV53 TRIANGLES _% ,J,K,L ,'&
,Q,R,S _: ) SIDE L5G?S Z M>K$

#A4 ,IF _% $[ ,L @:.K $[ ,S _:1 : !OREM
    C 2 US$ TO PROVE
    _% $T ,J,K,L @:.K $T ,Q,R,S _:8
  ,A4 ! ,SIDE-,SIDE-,SIDE ,3GRU;E ,!OREM
  ;,B4 ! ,SIDE-,ANGLE-,SIDE ,3GRU;E
    ,!OREM
  ;,C4 ! ,SIDE-,SIDE-,ANGLE ,3GRU;E
    ,!OREM
  ;,D4 ! ,ANGLE-,SIDE-,ANGLE ,3GRU;E
    ,!OREM







                                      #C
            ,,MCAP ,GEOMETRY         A#H
  ,AN 9COMPLETE PRO( IS %[N 9 ! TABLE4

7777777777777777777777777777777777777777
,/EP #A,S4 ,P>ALLELOGRAM _% ,P,Q,R,S ,')
  M$[ ,P .K #90^.* _:
,/EP #A,R4 ,GIV5
,/EP #B,S4 _% $[ ,P ,'& $[ ,Q _: >E
  SUPPLE;T>Y4
,/EP #B,R4 ;8
,/EP #C,S4
  _% M$[ ,P+M$[ ,Q .K #180^.* _:
,/EP #C,R4 ,DEF9I;N ( SUPPLE;T>Y ANGLES
,/EP #D,S4
  _% #90^.*"+M$[ ,Q .K #180^.* _:
,/EP #D,R4 ,SUB/ITU;N
,/EP #E,S4 _% M$[ ,Q .K #90^.* _:
,/EP #E,R4 ,SUBTRAC;N ,PROP]TY (
  ,EQUAL;Y
,/EP #F,S4 _% $[ ,P @:.K $[ ,R ,'&
  $[ ,Q @:.K $[ ,S _:
,/EP #F,R4 ;8
,/EP #G,S4 _% M$[ ,P .K M$[ ,R ,'&
  M$[ ,Q .K M$[ ,S _:
,/EP #G,R4 ,3GRU5T ANGLES H ! SAME    #F
            ,,MCAP ,GEOMETRY         B#H
  M1SURE4
,/EP #H,S4
  _% M$[ ,R .K M$[ ,S .K #90^.* _:
,/EP #H,R4 ,SUB/ITU;N
,/EP #I,S4 _% $[ ,P, $[ ,Q, $[ ,R, ,'&
  $[ ,S _: >E "R ANGLES4
,/EP #I,R4 ,DEF9I;N ( A "R ANGLE
,/EP #AJ,S4 _% ,P,Q,R,S _: IS A
  RECTANGLE4
,/EP #AJ,R4 ,DEF9I;N ( A RECTANGLE
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG












                                      #G
            ,,MCAP ,GEOMETRY          #I
#B4 ,:AT >E ! R1SONS = ,/EP #B & ,/EP #F
    T C 2 US$ TO COMPLETE ! PRO(8
  ,A4
  ,/EP #B3 ,DEF9I;N ( A L9E> PAIR
  ,/EP #F3 ,V]TICAL ANGLES >E 3GRU5T4
  ;,B4
  ,/EP #B3 ,DEF9I;N ( A L9E> PAIR
  ,/EP #F3 ,OPPOSITE ANGLES ( A
    P>ALLELOGRAM >E 3GRU5T4
  ;,C4
  ,/EP #B3 ,3SECUTIVE ANGLES ( A
    P>ALLELOGRAM >E SUPPLE;T>Y4
  ,/EP #F3 ,V]TICAL ANGLES >E 3GRU5T4
  ;,D4
  ,/EP #B3 ,3SECUTIVE ANGLES ( A
    P>ALLELOGRAM >E SUPPLE;T>Y4
  ,/EP #F3 ,OPPOSITE ANGLES ( A
    P>ALLELOGRAM >E 3GRU5T4





                                      #H
            ,,MCAP ,GEOMETRY         A#I
  ^7,"Q #C REF]S TO ! FOLL[+ 9=MA;N4^'
  ,! EQUA;N %[N REPRES5TS A CIRCLE 9 !
_% XY-PLANE4
  (X+4)^2"+(Y-3)^2 .K #36 _:

#C4 ,: /ATE;T 9CLUDES ! CORRECT C5T] & !
    CORRECT RADIUS = ? CIRCLE8
  ,A4 ,! C5T] IS LOCAT$ AT
    _% (4, -3) _:1 & ! RADIUS IS #F4
  ;,B4 ,! C5T] IS LOCAT$ AT
    _% (4, -3) _:1 & ! RADIUS IS #CF4
  ;,C4 ,! C5T] IS LOCAT$ AT
    _% (-4, 3) _:1 & ! RADIUS IS #F4
  ;,D4 ,! C5T] IS LOCAT$ AT
    _% (-4, 3) _:1 & ! RADIUS IS #CF4








                                      #I
            ,,MCAP ,GEOMETRY         #AJ
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #D REF]S TO ! FOLL[+ 9=MA;N4^'
  ,9 ! FIGURE %[N1 _% ",P,R<$O] ,'&
",Q,R<$O] _: 9T]SECT AT PO9T ;,R1 &
_% ",Q,P<:] @:.K ",Q,R<:] _:4

#D4 ,:AT IS ! VALUE ( ;X8
    ,9DICATE YR ANSW]4














                                     #AJ
            ,,MCAP ,GEOMETRY         #AA
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #E REF]S TO ! FOLL[+ 9=MA;N4^'
  ,QUADRILAT]AL _% ,P,Q,R,T _: IS
9SCRIB$ 9 CIRCLE ;,J Z %[N4

#E4 ,:AT IS ! M1SURE ( ANGLE ;,T8 _%
  ;,A_4 #114^.*
  ;,B_4 #120^.*
  ;,C_4 #126^.*
  ;,D_4 #138^.* _:












                                     #AB
            ,,MCAP ,GEOMETRY        B#AA
  ^7,"Q #F REF]S TO ! FOLL[+ 9=MA;N4^'
  ,?REE DI6]5T TYPES ( TRANS=MA;NS 7
P]=M$ ON TRIANGLE _% ,F,G,H _: TO RESULT
9 TRIANGLE _% ,X,Y,Z_4 ,',TRIANGLE
,F,G,H _: IS 3GRU5T TO TRIANGLE
_% ,X,Y,Z _:4

#F4 ,: ?REE TYPES ( TRANS=MA;NS 7 P]=M$
    ON TRIANGLE _% ,F,G,H _: TO RESULT 9
    TRIANGLE _% ,X,Y,Z _:8
  ,A4 A REFLEC;N1 A ROTA;N1 & A
    TRANSLA;N
  ;,B4 A DILA;N1 A TRANSLA;N1 & A
    REFLEC;N
  ;,C4 A TRANSLA;N1 A DILA;N1 & A ROTA;N
  ;,D4 A ROTA;N1 A REFLEC;N1 & A DILA;N







                                     #AD
            ,,MCAP ,GEOMETRY        A#AB
  ,PROVE3 _% $[ #2 @:.K $[ #4 _:
  ,AN 9COMPLETE PRO( IS %[N4

7777777777777777777777777777777777777777
,/EP #A,S4 ,L9ES ;K & ;N 9T]SECT TO =M
  ANGLES #A1 #B1 #C1 & #D4
,/EP #A,R4 ,GIV5
,/EP #B,S4 ,ANGLES #A & #B =M A L9E>
  PAIR4
  ,ANGLES #A & #D =M A L9E> PAIR4
,/EP #B,R4 ,DEF9I;N ( A L9E> PAIR
,/EP #C,S4 ,ANGLES #A & #B >E
  SUPPLE;T>Y4 ,ANGLES #A & #D >E
  SUPPLE;T>Y4
,/EP #C,R4 ,ANGLES T =M A L9E> PAIR >E
  SUPPLE;T>Y4
,/EP #D,S4 _% M$[ #1+M$[ #2 .K #180^.*
  M$[ #1+M$[ #4 .K #180^.* _:
,/EP #D,R4 ,! SUM ( ! M1SURES (
  SUPPLE;T>Y ANGLES IS _% #180^.*_4
,',/EP #5,S_4
  M$[ #1+M$[ #2 .K M$[ #1+M$[ #4 _:
,/EP #E,R4 ,TRANSITIVE ,PROP]TY
,/EP #F,S4 _% M$[ #2 .K M$[ #4 _:    #AF
            ,,MCAP ,GEOMETRY        B#AB
,/EP #F,R4 ;8
,/EP #G,S4 _% $[ #2 @:.K $[ #4 _:
,/EP #G,R4 ,ANGLES T H ! SAME M1SURE >E
  3GRU5T4
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG

#G4 ,: R1SON = /EP #F CORRECTLY
    COMPLETES ! PRO(8
  ,A4 ,SUB/ITU;N
  ;,B4 ,REFLEXIVE ,PROP]TY
  ;,C4 ,SUBTRAC;N ,PROP]TY ( ,EQUAL;Y
  ;,D4 ,DEF9I;N ( ,SUPPLE;T>Y ,ANGLES











                                     #AG
            ,,MCAP ,GEOMETRY        A#AC
  ^7,"Q #I REF]S TO ! FOLL[+ 9=MA;N4^'
  ,/EPS ( A 3/RUC;N 9 A CIRCLE >E
DESCRIB$4

_4 ,/EP #A3 ,DRAW A DIAMET] ( ! CIRCLE &
  LABEL TWO 5DPO9TS ;,M & ;,N1
  RESPECTIVELY4
_4 ,/EP #B3 ,3/RUCT ! P]P5DICUL>
  BISECTOR ( _% ",M,N<:] _:4
_4 ,/EP #C3 ,LABEL ! PO9TS ( 9T]SEC;N (
  ! P]P5DICUL> BISECTOR & ! CIRCLE ;,P &
  ;,Q1 RESPECTIVELY4
_4 ,/EP #D3 ,3NECT PO9TS ;,M TO ;,P TO
  ;,N TO ;,Q & BACK TO ;,M4

#I4 ,: FIGURE IS ! RESULT ( ? 3/RUC;N8
  ,A4 A SQU>E 9SCRIB$ 9 ! CIRCLE
  ;,B4 AN EQUILAT]AL TRIANGLE 9SCRIB$ 9
    ! CIRCLE
  ;,C4 A NON-SQU>E RHOMBUS 9SCRIB$ 9 !
    CIRCLE
  ;,D4 A NON-SQU>E RECTANGLE 9SCRIB$ 9 !
    CIRCLE
                                     #AI
            ,,MCAP ,GEOMETRY         #AD
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #AJ REF]S TO ! FOLL[+ 9=MA;N4^'
  ,9 ! FIGURE %[N1 _% ",G,L<$[33O] ,'&
",J,L<$[33O] _: 9T]SECT AT PO9T ;,L1 &
PO9T ;,M IS N ON EI L9E4

#AJ4 ,BO? L9ES W 2 DILAT$ US+ A SCALE
    FACTOR ( #B & ! SAME C5T] ( DILA;N4
    ,: PO9T %D 2 US$ Z ! C5T] ( DILA;N S
    T NEI IMAGE RESULTS 9 ! SAME L9E Z
    XS PREIMAGE8
  ,A4 PO9T ;,G
  ;,B4 PO9T ;,J
  ;,C4 PO9T ;,L
  ;,D4 PO9T ;,M







                                     #BJ
            ,,MCAP ,GEOMETRY        B#AD
  ^7,"Q #AA REF]S TO ! FOLL[+ 9=MA;N4^'
  ,9 ! _% XY-PLANE _:1 TWO V]TICES (
ISOSCELES TRIANGLE _% ,X,Y,Z _: >E AT
_% ,X(1, 2) ,'& ,Y(7, 2), ,'&
,X,Z .K ,Y,Z _:4

#AA4 ,: ORD]$ PAIR CD REPRES5T ! LOCA;N
    ( PO9T ;,Z8 _%
  ;,A_4 (3, 0)
  ;,B_4 (3, 4)
  ;,C_4 (4, 2)
  ;,D_4 (4, 5) _:











                                     #BB
            ,,MCAP ,GEOMETRY        A#AF
  ,AN 9COMPLETE PRO( IS %[N 9 ! TABLE4

7777777777777777777777777777777777777777
,/EP #A,S4 _% $[ ,P @:.K $[ ,J,
  $[ ,Q @:.K $[ ,K, ,P,R .K #5,
  ,Q,R .K #7, ,'& ,J,L .K #2 _:4
,/EP #A,R4 ,GIV5
,/EP #B,S4 _% $T ,P,Q,R @: $T ,J,K,L _:
,/EP #B,R4 ;8
,/EP #C,S4
  _% ?,K,L/,Q,R# .K ?,J,L/,P,R# _:
,/EP #C,R4 ;8
,/EP #D,S4 _% ?,K,L/7# .K ?2/5# _:
,/EP #D,R4 ,SUB/ITU;N
,/EP #E,S4 _% ,K,L .K ?14/5# .K #2.8 _:
,/EP #E,R4 ,MULTIPLICA;N PROP]TY (
  EQUAL;Y
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG





                                     #BD
            ,,MCAP ,GEOMETRY         #AG
#AB4 ,:AT >E ! R1SONS = ,/EP #B & ,/EP
    #C T C 2 US$ TO COMPLETE ! PRO(8
  ,A4
  ,/EP #B3 ,,AA ,SIMIL>;Y
  ,/EP #C3 ,CORRESPOND+ SIDES ( SIMIL>
    TRIANGLES >E PROPOR;NAL4
  ;,B4
  ,/EP #B3 ,,AA ,SIMIL>;Y
  ,/EP #C3 ,! M1SURES ( CORRESPOND+
    ANGLES ( SIMIL> TRIANGLES >E EQUAL4
  ;,C4
  ,/EP #B3 ,,SAS ,SIMIL>;Y
  ,/EP #C3 ,CORRESPOND+ SIDES ( SIMIL>
    TRIANGLES >E PROPOR;NAL4
  ;,D4
  ,/EP #B3 ,,SAS ,SIMIL>;Y
  ,/EP #C3 ,! M1SURES ( CORRESPOND+
    ANGLES ( SIMIL> TRIANGLES >E EQUAL4





                                     #BE
            ,,MCAP ,GEOMETRY        A#AG
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #AC REF]S TO ! FOLL[+ 9=MA;N4^'
  ,GIV53 _% $T ,X,Y,Z _: ) PO9T ;,Y ON
L9E ;K1 & _% K $L ",X,Z<:] _:4

#AC4 ,: /ATE;T W ^1MO/ ^1LIKELY 2 US$ TO
    PROVE T _% M$[ ,X+M$[ ,X,Y,Z+M$[ ,Z
    .K #180^.*_8
  ;,A_4 M$[ #2 .K #90^.*
  ;,B_4 M$[ #1 .K M$[ #3
  ;,C_4 M$[ #1 .K M$[ ,X
  ;,D_4 M$[ #2+M$[ ,Z .K #180^.* _:










                                     #BF
            ,,MCAP ,GEOMETRY         #AH

,/OP4

  ,Y H COME TO ! 5D ( ,SEC;N #A ( ! TE/4
,REVIEW YR ANSW]S F ,SEC;N #A ONLY4


















                                     #BH
            ,,MCAP ,GEOMETRY     #AI-#BA

               ,SEC;N #B
            "<,CALCULATOR">

    ,DIREC;NS = ,TE/-,TAK] & ,RECORD]3
  ,TD1 Y W TAKE ,SEC;N #B ( ! ,GEOMETRY
,PRACTICE ,TE/4 ,Y W 2 ALL[$ TO USE A
CALCULATOR4
  ,R1D EA* "Q4 ,!N1 FOLL[ ! DIREC;NS TO
ANSW] EA* "Q &1 IF APPROV$ = A RECORD]1
9DICATE YR ANSW] TO ! P]SON :O W RECORD
X ON AN ANSW] DOCU;T4 ,O!RWISE1 WRITE YR
ANSW] Z DIRECT$ BY YR TE/ ADM9I/RATOR4
,IF Y NE$ TO *ANGE AN ANSW]1 2 SURE TO
]ASE X COMPLETELY1 CROSS X \1 OR />T A
NEW L9E4 ,IF A "Q ASKS Y TO %[ OR EXPLA9
YR "W1 Y M/ D S TO RCV FULL CR$IT4 ,"W
D"O ON SCRAT* PAP] W N 2 SCOR$4
  ,IF Y D N "K ! ANSW] TO A "Q1 Y MAY G
ON TO ! NEXT "Q4 ,IF Y F9I% E>LY1 Y MAY
REVIEW YR ANSW]S & ANY "QS Y DID N ANSW]
9 ? ,SEC;N ,,ONLY4 ,D N G TO ANY O!R
,SEC;N ( ! TE/4
  ,"S "QS REQUIRE Y TO SOLVE A       #BI
            ,,MCAP ,GEOMETRY        A#BA
PROBLEM & 9DICATE YR ANSW] TO ! P]SON :O
W RECORD X 9 AN ANSW] GRID ON ! ANSW]
DOCU;T4 ,O!RWISE1 Y W WRITE YR ANSW] Z
DIRECT$ BY YR TE/ ADM9I/RATOR4 ,ANSW]
GRIDS H SEV5 SPACES 9 : TO RECORD EA*
ANSW]4 ,NO ANSW] *OICES >E PROVID$ = ^!
"QS4
















                                     #CJ
            ,,MCAP ,GEOMETRY         #BB
  ^7,"Q #A REF]S TO ! FOLL[+ 9=MA;N4^'
  ,A BIRD FLEW F A PO9T ON ! GR.D
DIRECTLY TO ! $GE ( ! RO( ( A BUILD+4 ,!
HEI<T ( ! BUILD+ IS #DJ FEET1 & ! ANGLE
( ELEVA;N ! BIRD'S FLI<T PA? MADE ) !
GR.D IS _% #26^.* _:4

#A4 ,: EXPRES.N MODELS ! TOTAL 4T.E1 9
    FEET1 ! BIRD FLEW8 _%
  ;,A_4 ?40/COS #26^.*"#
  ;,B_4 ?40/SIN #26^.*"#
  ;,C_4 ?COS #26^.*"/40#
  ;,D_4 ?SIN #26^.*"/40# _:










                                     #CA
            ,,MCAP ,GEOMETRY         #BC
  ^7,"Q #B REF]S TO ! FOLL[+ 9=MA;N4^'
  ,SEG;T _% ,J,K _: IS %[N ON !
COORD9ATE PLANE4 ,! 5DPO9TS ( ! SEG;T H
9TEG] COORD9ATES4
  ,PO9T ;,L IS LOCAT$ ON SEG;T
_% ,J,K _: S* T ! RATIO ( _% ,J,L ,'TO
,K,L ,'IS #1 "1 #3 _:4

#B4 ,:AT >E ! COORD9ATES ( PO9T ;,L8 _%
  ;,A_4 (-5, -3)
  ;,B_4 (-3, -1)
  ;,C_4 (-2, 0)
  ;,D_4 (0, 2) _:
      @.<,! FIGURE ON ! NEXT PAGE %[S
    _% ",J,K<:] _: 9 ! COORD9ATE PLANE4
    ,! NUMB]S _% -#9 _: "? #I1 9 9CRE;TS
    ( #A1 >E 9DICAT$ ON BO? AXES4@.>






                                     #CB
            ,,MCAP ,GEOMETRY         #BD
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #C REF]S TO ! FOLL[+ 9=MA;N4^'
  ,A C"O HAS A BASE RADIUS ( #C
C5TIMET]S & A HEI<T ( #E C5TIMET]S4 ,A
/UD5T CORRECTLY CALCULATES XS VOLUME TO
2 _% #15.P _: CUBIC C5TIMET]S4
  ,! /UD5T ?9KS T A SIMPL] =MULA = !
VOLUME ( A C"O IS _% ,V .K .PRH ,'2C
.P(3)(5) .K #15.P _:4

#C4 ,: /ATE;T EXPLA9S ! 3DI;NS = : !
    /UD5T'S CLAIM WD 2 TRUE8
  ,A4 ,! CLAIM IS TRUE ONLY :5 ! HEI<T
    IS #E4
  ;,B4 ,! CLAIM IS TRUE ONLY :5 ! RADIUS
    ( ! C"O IS #C4
  ;,C4 ,! CLAIM IS TRUE REG>D.S ( !
    DIM5.NS ( ! C"O4
  ;,D4 ,! CLAIM IS TRUE :5"E ! PRODUCT (
    ! BASE & HEI<T IS #AE4


                                     #CD
            ,,MCAP ,GEOMETRY         #BE
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #D REF]S TO ! FOLL[+ 9=MA;N4^'
  ,9 ! FIGURE1
_% M$[ ,K+M$[ ,Q .K #90^.* _:4

#D4 ,: TRIGONOMETRIC RATIOS >E
    EQUIVAL5T8
      ,SELECT ^1ALL T APPLY4 _%
  ;,A_4 SIN (,L) ,'& SIN (,Q)
  ;,B_4 SIN (,L) ,'& COS (,Q)
  ;,C_4 SIN (,L) ,'& SIN (,R)
  ;,D_4 COS (,L) ,'& SIN (,Q)
  ;,E_4 COS (,L) ,'& COS (,Q)
  ;,F_4 COS (,L) ,'& SIN (,R) _:








                                     #CF
            ,,MCAP ,GEOMETRY         #BF
  ^7,"Q #E REF]S TO ! FOLL[+ 9=MA;N4^'
  ,"R TRIANGLE _% ,X,Y,Z _: IS %[N 9 !
_% XY-PLANE _:4 ,V]TEX ;,X HAS
COORD9ATES _% (2, 3) _:4 ,! L5G? (
_% ",X,Y<:] _: IS #B UNITS1 & ! L5G? (
_% ",X,Z<:] _: IS #F UNITS4
      @.<,! FIGURE ON ! NEXT PAGE %[S "R
    TRIANGLE _% ,X,Y,Z _: 9 !
    _% XY-PLANE _:1 ) ! ORIG9 LABEL$ ,O4
    ,V]TEX ;,X HAS COORD9ATES
    _% (2, 3) _:4 ,V]TEX ;,Y IS ABV
    V]TEX ;,X1 & V]TEX ;,Z IS TO ! "R (
    V]TEX ;,X1 S* T _% $[ ,Y,X,Z _:1 IS
    A "R ANGLE4 ,! L5G? ( _% ",X,Y<:] _:
    IS #B UNITS1 & ! L5G? (
    _% ",X,Z<:] _: IS #F UNITS4@.>







                                     #CH
            ,,MCAP ,GEOMETRY        B#BF
  ,A /UD5T'S "W = F9D+ ! SLOPE ( !
P]P5DICUL> BISECTOR ( _% ",Y,Z<:] _: IS
%[N4

      ,/UD5T'S ,"W
    ,! SLOPE ( _% ",Y,Z<:] ,'IS ?2/6#,
  ,'OR ?1/3# _:4 ,! OPPOSITE ( !
  RECIPROCAL ( _% ?1/3# ,'IS -#3 _:4 ,S1
  ! P]P5DICUL> BISECTOR ( _% ",Y,Z<:] _:
  HAS A SLOPE ( _% -#3 _:4

#E4

    _4 ,DESCRIBE ! /UD5T'S MI/AKE4
    _4 ,F9D ! EQUA;N ( ! L9E T REPRES5TS
      ! P]P5DICUL> BISECTOR (
      _% ",Y,Z<:] _:4 ,%[ YR "W OR
      EXPLA9 H[ Y F.D ! EQUA;N4

    ,9DICATE YR ANSW] & YR "W OR
  EXPLANA;N4


                                     #DJ
            ,,MCAP ,GEOMETRY         #BG
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #F REF]S TO ! FOLL[+ 9=MA;N4^'
  ,9 ! FIGURE %[N1 PO9TS ;,K1 ;,M1 & ;,P
LIE ON CIRCLE ;,J4

#F4 ,: /ATE;T CORRECTLY COMP>ES TWO
    ANGLE M1SURES 9 ! FIGURE8 _%
  ;,A_4 #2(M$[ ,K,M,P) .K M$[ ,K,J,P
  ;,B_4 #2(M$[ ,J,K,M) .K M$[ ,K,M,P
  ;,C_4 #2(M$[ ,J,P,M) .K M$[ ,K,J,P
  ;,D_4 #2(M$[ ,K,J,P) .K M$[ ,K,M,P _:











                                     #DA
            ,,MCAP ,GEOMETRY        A#BH
  ,AN 9COMPLETE PRO( IS %[N 9 ! TABLE4

7777777777777777777777777777777777777777
,/EP #A,S4 _% ",P,Q<:] $L ",J,L<:] _:
,/EP #A,R4 ,GIV5
,/EP #B,S4 _% $[ ,K,P,Q @:.K $[ ,K,J,L,
  $[ ,K,Q,P @:.K $[ ,K,L,J _:
,/EP #B,R4 ;8
,/EP #C,S4 _% $T ,P,K,Q @: $T ,J,K,L _:
,/EP #C,R4 ,,AA CRIT]ION
,/EP #D,S4
  _% ?,J,K/,P,K# .K ?,L,K/,Q,K# _:
,/EP #D,R4 ;8
,/EP #E,S4 _% ?,J,P+,P,K/,P,K#
  .K ?,L,Q+,Q,K/,Q,K# _:
,/EP #E,R4 ,SEG;T ADDI;N PO/ULATE
,/EP #F,S4 _% ?,J,P/,P,K#+?,P,K/,P,K#
  .K ?,L,Q/,Q,K#+?,Q,K/,Q,K# _:
,/EP #F,R4 ,4TRIBUTIVE PROP]TY
,/EP #G,S4
  _% ?,J,P/,P,K# .K ?,L,Q/,Q,K# _:
,/EP #G,R4 ,ADDI;N PROP]TY ( EQUAL;Y
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG
                                     #DD
            ,,MCAP ,GEOMETRY         #BI
#G4 ,: R1SONS = ,/EP #B & ,/EP #D
    COMPLETE ! PRO(8
      ,SELECT ^1ALL T APPLY4
  ,A4 ,/EP #B3 ,:5 TWO P>ALLEL L9ES >E
    CUT BY A TRANSV]SAL1 CORRESPOND+
    ANGLES >E 3GRU5T4
  ;,B4 ,/EP #B3 ,:5 TWO P>ALLEL L9ES >E
    CUT BY A TRANSV]SAL1 ALT]NATE 9T]IOR
    ANGLES >E 3GRU5T4
  ;,C4 ,/EP #D3 ,CORRESPOND+ SIDES (
    SIMIL> TRIANGLES >E 3GRU5T4
  ;,D4 ,/EP #D3 ,CORRESPOND+ SIDES (
    SIMIL> TRIANGLES >E PROPOR;NAL4
  ;,E4 ,/EP #D3 ,CORRESPOND+ SIDES (
    3GRU5T TRIANGLES >E 3GRU5T4
  ;,F4 ,/EP #D3 ,CORRESPOND+ SIDES (
    3GRU5T TRIANGLES >E PROPOR;NAL4






                                     #DE
            ,,MCAP ,GEOMETRY        A#BI
  ^7,"Q #H REF]S TO ! FOLL[+ 9=MA;N4^'
  ,A C IS 9 ! %APE ( A "R CIRCUL> CYL9D]
) AN 9N] DIAMET] ( _% #7.5 _: C5TIMET]S
& AN 9N] HEI<T ( _% #12.5 _: C5TIMET]S4
,! C IS PLAC$ ON XS CIRCUL> BASE1 & #DEJ
MILLILIT]S ( JUICE IS P\R$ 9TO ! C4

#H4 ,GIV5 T #A MILLILIT] IS EQUIVAL5T TO
    #A CUBIC C5TIMET]1 :AT IS ! HEI<T (
    ! JUICE 9 ! C TO ! NE>E/ T5? ( A
    C5TIMET]8 _%
  ;,A_4 #2.5 CM
  ;,B_4 #8.0 CM
  ;,C_4 #10.2 CM
  ;,D_4 #11.3 CM _:
-------------------------------------#CJ

,/OP4

  ,Y H COME TO ! 5D ( ,SEC;N #B ( ! TE/4
,REVIEW YR ANSW]S F ,SEC;N #B ONLY4


                                     #DF
            ,,MCAP ,GEOMETRY     #CA-#CC

               ,SEC;N #C
            "<,CALCULATOR">

    ,DIREC;NS = ,TE/-,TAK] & ,RECORD]3
  ,TD1 Y W TAKE ,SEC;N #C ( ! ,GEOMETRY
,PRACTICE ,TE/4 ,Y W 2 ALL[$ TO USE A
CALCULATOR4
  ,R1D EA* "Q4 ,!N1 FOLL[ ! DIREC;NS TO
ANSW] EA* "Q &1 IF APPROV$ = A RECORD]1
9DICATE YR ANSW] TO ! P]SON :O W RECORD
X ON AN ANSW] DOCU;T4 ,O!RWISE1 WRITE YR
ANSW] Z DIRECT$ BY YR TE/ ADM9I/RATOR4
,IF Y NE$ TO *ANGE AN ANSW]1 2 SURE TO
]ASE X COMPLETELY1 CROSS X \1 OR />T A
NEW L9E4 ,IF A "Q ASKS Y TO %[ OR EXPLA9
YR "W1 Y M/ D S TO RCV FULL CR$IT4 ,"W
D"O ON SCRAT* PAP] W N 2 SCOR$4
  ,IF Y D N "K ! ANSW] TO A "Q1 Y MAY G
ON TO ! NEXT "Q4 ,IF Y F9I% E>LY1 Y MAY
REVIEW YR ANSW]S & ANY "QS Y DID N ANSW]
9 ? ,SEC;N ,,ONLY4 ,D N G TO ANY O!R
,SEC;N ( ! TE/4
  ,"S "QS REQUIRE Y TO SOLVE A       #DG
            ,,MCAP ,GEOMETRY        A#CC
PROBLEM & 9DICATE YR ANSW] TO ! P]SON :O
W RECORD X 9 AN ANSW] GRID ON ! ANSW]
DOCU;T4 ,O!RWISE1 Y W WRITE YR ANSW] Z
DIRECT$ BY YR TE/ ADM9I/RATOR4 ,ANSW]
GRIDS H SEV5 SPACES 9 : TO RECORD EA*
ANSW]4 ,NO ANSW] *OICES >E PROVID$ = ^!
"QS4
















                                     #DH
            ,,MCAP ,GEOMETRY         #CD
  ^7,"Q #A REF]S TO ! FOLL[+ 9=MA;N4^'
  ,A /UD5T CLAIMS T ANY QUADRILAT]AL )
3GRU5T DIAGONALS M/ 2 A RECTANGLE4

#A4 ,: PHRASE ^1BE/ DESCRIBES A %APE T C
    2 US$ TO %[ ! /UD5T'S CLAIM IS
    9CORRECT8
  ,A4 A SQU>E
  ;,B4 A RHOMBUS ) NO "R ANGLES
  ;,C4 A P>ALLELOGRAM ) F\R "R ANGLES
  ;,D4 A TRAPEZOID ) 3GRU5T NONP>ALLEL
    SIDES











                                     #DI
            ,,MCAP ,GEOMETRY        A#CD
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #B REF]S TO ! FOLL[+ 9=MA;N4^'
  ,! FIGURE %[S ! DIM5.NS ( A BOTTLE (
%AMPOO4
  ,! CAP AT ! TOP ( ! %AMPOO BOTTLE C 2
MODEL$ BY A CYL9D] ) A DIAMET] ( #A 9* &
A HEI<T ( #A 9*4
  ,A /UD5T WANTS TO MAIL #B BOTTLES (
%AMPOO TO A FR4 ,! /UD5T PACKS ! #B
BOTTLES ( %AMPOO 9 A BOX T IS #F 9*ES
L;G1 #D 9*ES WIDE1 & #AJ 9*ES TALL4 ,AF
PLAC+ ! #B BOTTLES ( %AMPOO 9 ! BOX1 !
/UD5T W FILL ! EMPTY SPACE 9 ! BOX )
PACK+ MAT]IALS4

#B4 ,H[ M* PACK+ MAT]IAL1 9 CUBIC 9*ES1
  W ! /UD5T NE$ TO FILL ! EMPTY SPACE 9
  ! BOX8 ,%[ YR "W OR EXPLA9 YR ANSW]4
    ,9DICATE YR ANSW] & YR "W OR
  EXPLANA;N4


                                     #EJ
            ,,MCAP ,GEOMETRY         #CE
  ^7,"Q #C REF]S TO ! FOLL[+ 9=MA;N4^'
  ,9 "R TRIANGLE _% ,X,Y,Z _:1 ! L5G? (
! HYPOT5USE _% ",Y,Z<:] _: IS #AJ 9*ES &
_% TAN ,Z .K ?3/4# _:4

#C4 ,:AT IS ! L5G?1 9 9*ES1 ( ! LEG
  _% ",X,Y<:] _:8
    ,9DICATE YR ANSW]4

  ^7,"Q #D REF]S TO ! FOLL[+ 9=MA;N4^'
  ,A F>M] WANTS TO BUILD A G>D5 US+ F;E4
,A TOTAL ( #FJ FEET ( F;E W 2 US$ TO
5CLOSE ! G>D54 ,! F>M] CALCULATES T !
>EA ( ! G>D5 W 2 #BBE SQU>E FEET IF A
SQU>E-%AP$ G>D5 IS BUILT US+ ! F;E4 ,!
F>M] AL 3SID]S BUILD+ ! G>D5 9 DI6]5T
%APES TO 9CR1SE ! >EA 5CLOS$ BY ! F;E4

#D4 ,BUILD+ ! G>D5 9 : %APE W 9CR1SE !
    >EA ( ! G>D5 5CLOS$ BY ! F;E8
  ,A4 CIRCLE
  ;,B4 EQUILAT]AL TRIANGLE
  ;,C4 RHOMBUS T IS N A SQU>E
  ;,D4 RECTANGLE T IS N A SQU>E      #EB
            ,,MCAP ,GEOMETRY         #CF

  ^7,"Q #E REF]S TO ! FOLL[+ 9=MA;N4^'
  ,! COORD9ATES ( ! V]TICES (
QUADRILAT]AL _% ,P,Q,R,S _: >E %[N 9 !
_% XY-PLANE _:4

#E4

    _4 ,PROVE T QUADRILAT]AL
      _% ,P,Q,R,S _: IS A TRAPEZOID4
    _4 ,DET]M9E :E!R QUADRILAT]AL
      _% ,P,Q,R,S _: IS AN ISOSCELES
      TRAPEZOID4
    _4 ,%[ YR "W OR EXPLA9 H[ Y DET]M9$
      YR ANSW]S4

    ,9DICATE YR ANSW] & YR "W OR
  EXPLANA;N4
      @.<,! FIGURE ON ! NEXT PAGE %[S
    QUADRILAT]AL _% ,P,Q,R,S _: GRAPH$ 9
    ! _% XY-PLANE _:4 ,! NUMB]S #J "?
    #AJ1 9 9CRE;TS ( #A1 >E 9DICAT$ ON
    BO? AXES4 ,! COORD9ATES ( ! V]TICES
    >E 9DICAT$4@.>                   #EC
            ,,MCAP ,GEOMETRY         #CG
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #F REF]S TO ! FOLL[+ 9=MA;N4^'
  ,A WAT] TANK IS 9 ! %APE ( A CYL9D] T
HAS A HEMISP"H ATTA*$ TO EA* CIRCUL>
BASE4 ,! DIAMET] ( ! CYL9DRICAL "P ( !
TANK IS #F FEET1 & ! TOTAL L5G? ( ! TANK
IS #AE FEET Z %[N 9 ! DIAGRAM4

#F4 ,X TAKES APPROXIMATELY _% #7.48 _:
    GALLONS ( WAT] TO FILL #A CUBIC FOOT
    ( SPACE4 ,: M1SURE;T IS CLOSE/ TO !
    MAXIMUM AM.T ( WAT]1 9 GALLONS1 !
    TANK C HOLD8
  ,A4 #DJAH GALLONS
  ;,B4 #CEIE GALLONS
  ;,C4 #BGDI GALLONS
  ;,D4 #BCBF GALLONS





                                     #EE
            ,,MCAP ,GEOMETRY         #CH

,/OP4

  ,Y H COME TO ! 5D ( ,SEC;N #C ( ! TE/4
,REVIEW YR ANSW]S F ,SEC;N #C ONLY4


















                                     #EG
            ,,MCAP ,GEOMETRY     #CI-#DA

               ,SEC;N #D
            "<,CALCULATOR">

    ,DIREC;NS = ,TE/-,TAK] & ,RECORD]3
  ,TD1 Y W TAKE ,SEC;N #D ( ! ,GEOMETRY
,PRACTICE ,TE/4 ,Y W 2 ALL[$ TO USE A
CALCULATOR4
  ,R1D EA* "Q4 ,!N1 FOLL[ ! DIREC;NS TO
ANSW] EA* "Q &1 IF APPROV$ = A RECORD]1
9DICATE YR ANSW] TO ! P]SON :O W RECORD
X ON AN ANSW] DOCU;T4 ,O!RWISE1 WRITE YR
ANSW] Z DIRECT$ BY YR TE/ ADM9I/RATOR4
,IF Y NE$ TO *ANGE AN ANSW]1 2 SURE TO
]ASE X COMPLETELY1 CROSS X \1 OR />T A
NEW L9E4 ,IF A "Q ASKS Y TO %[ OR EXPLA9
YR "W1 Y M/ D S TO RCV FULL CR$IT4 ,"W
D"O ON SCRAT* PAP] W N 2 SCOR$4
  ,IF Y D N "K ! ANSW] TO A "Q1 Y MAY G
ON TO ! NEXT "Q4 ,IF Y F9I% E>LY1 Y MAY
REVIEW YR ANSW]S & ANY "QS Y DID N ANSW]
9 ? ,SEC;N ,,ONLY4 ,D N G TO ANY O!R
,SEC;N ( ! TE/4
  ,"S "QS REQUIRE Y TO SOLVE A       #EH
            ,,MCAP ,GEOMETRY        A#DA
PROBLEM & 9DICATE YR ANSW] TO ! P]SON :O
W RECORD X 9 AN ANSW] GRID ON ! ANSW]
DOCU;T4 ,O!RWISE1 Y W WRITE YR ANSW] Z
DIRECT$ BY YR TE/ ADM9I/RATOR4 ,ANSW]
GRIDS H SEV5 SPACES 9 : TO RECORD EA*
ANSW]4 ,NO ANSW] *OICES >E PROVID$ = ^!
"QS4
















                                     #EI
            ,,MCAP ,GEOMETRY         #DB
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #A REF]S TO ! FOLL[+ 9=MA;N4^'
  ,CIRCLE ;,P ) A RADIUS ( #D C5TIMET]S
IS %[N4

#A4 ,: EXPRES.N REPRES5TS ! >EA ( ! %AD$
    SECTOR ( CIRCLE ;,P8
  ,A4 _% ?29.P/18# _: SQU>E C5TIMET]S
  ;,B4 _% ?29.P/9# _: SQU>E C5TIMET]S
  ;,C4 _% ?16.P/3# _: SQU>E C5TIMET]S
  ;,D4 _% ?58.P/9# _: SQU>E C5TIMET]S











                                     #FJ
            ,,MCAP ,GEOMETRY         #DC
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #B REF]S TO ! FOLL[+ 9=MA;N4^'
  ,9 _% $T ,K,L,M ,'& $T ,X,Y,Z ,'%[N1
",K,L<:] @:.K ",X,Y<:] ,'&
$[ ,L @:.K $[ ,Y _:4

#B4 ,: /ATE;T CORRECTLY PROVES ! TWO
    TRIANGLES >E 3GRU5T8
  ,A4 ,IF _% ",L,M<:] @:.K ",Y,Z<:],
    ,'!N $T ,K,L,M @:.K $T ,X,Y,Z _: BY
    ,,AAS PO/ULATE4
  ;,B4 ,IF _% ",L,M<:] @:.K ",Y,Z<:],
    ,'!N $T ,K,L,M @:.K $T ,X,Y,Z _: BY
    ,,SSS PO/ULATE4
  ;,C4 ,IF _% $[ ,M @:.K $[ ,Z, ,'!N
    $T ,K,L,M @:.K $T ,X,Y,Z _: BY ,,AAS
    PO/ULATE4
  ;,D4 ,IF _% $[ ,M @:.K $[ ,Z, ,'!N
    $T ,K,L,M @:.K $T ,X,Y,Z _: BY ,,SSS
    PO/ULATE4


                                     #FB
            ,,MCAP ,GEOMETRY         #DD
  ^7,"Q #C REF]S TO ! FOLL[+ 9=MA;N4^'
  ,TRAPEZOID _% ,R,T,V,Z _: IS %[N ON !
COORD9ATE PLANE4
  ,TRAPEZOID _% ,R,T,V,Z _: W 2 REFLECT$
OV] ! ;Y-AXIS & ROTAT$ _% #90^.* _:
C.T]CLOCKWISE AB ! ORIG9 TO RESULT 9 !
IMAGE TRAPEZOID _% ,R',T',V',Z' _:4

#C4 ,:AT W 2 ! COORD9ATES ( V]TEX
    _% ,R'_8
  ;,A_4 (-8, -4)
  ;,B_4 (4, -8)
  ;,C_4 (8, -4)
  ;,D_4 (8, 4) _:
      @.<,! FIGURE ON ! NEXT PAGE %[S
    TRAPEZOID _% ,R,T,V,Z _: GRAPH$ 9
    QUADRANT #C ( ! _% XY-PLANE _:4 ,!
    NUMB]S _% -#9 _: "? #I1 9 9CRE;TS (
    #A1 >E 9DICAT$ ON BO? AXES4@.>




                                     #FD
            ,,MCAP ,GEOMETRY         #DE
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #D REF]S TO ! FOLL[+ 9=MA;N4^'
  ,US+ A ?REE-DIM5.NAL PR9T]1 AN >TI/ W
PRODUCE S"EAL MODELS ( HEMISP"HS4 ,!
>TI/ USES ;X TO REPRES5T ! \T] RADIUS1 9
C5TIMET]S1 ( EA* MODEL1 & ! MAT]IAL US$
TO MAKE EA* MODEL IS #A C5TIMET] ?ICK1 Z
%[N 9 ! DIAGRAM4
  ,! >TI/ W FILL EA* MODEL ) COLOR$ PA9T
TO XS MAXIMUM CAPAC;Y4 ,! COLOR$ PA9T
CO/S _% @S0.01 _: P] CUBIC C5TIMET]4

#D4 ,: EXPRES.N REPRES5TS ! CO/1 9
    DOLL>S1 ( ! COLOR$ PA9T NE$$ TO FILL
    ANY MODEL BAS$ ON ;X8 _%
  ;,A_4 #0.01*?2/3#.PX^3
  ;,B_4 #0.01*?4/3#.PX^3
  ;,C_4 #0.01*?2/3#.P(X-1)^3
  ;,D_4 #0.01*?4/3#.P(X-1)^3 _:



                                     #FF
            ,,MCAP ,GEOMETRY         #DF
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #E REF]S TO ! FOLL[+ 9=MA;N4^'
  ,A /UD5T IS /&+ NEXT TO A V]TICAL
FLAGPOLE4 ,! TOP ( ! /UD5T'S %AD[
CO9CIDES ) ! TOP ( ! FLAGPOLE'S %AD[ Z
%[N4
  ,! /UD5T IS #FB 9*ES TALL4 ,! /UD5T
E/IMATES T ! 4T.E F ! FLAGPOLE TO ! PO9T
": ! /UD5T IS /&+ IS 2T #BA & #BB FEET4
  ,! /UD5T AL E/IMATES T ! L5G? ( !
/UD5T'S %AD[ IS 2T #G & _% #7_?1/2_# _:
FEET4

#E4 ,BAS$ ON ! GIV5 9=MA;N1 :AT >E !
  ^1L1/ & ^1GRTE/ POSSIBLE HEI<TS1 9
  ^1FEET1 ( ! FLAGPOLE8 ,EXPLA9 H[ Y
  >RIV$ AT YR ANSW]S4
    ,9DICATE YR ANSW]S & EXPLANA;NS4




                                     #FH
            ,,MCAP ,GEOMETRY         #DG
  ^7,"Q #F REF]S TO ! FOLL[+ 9=MA;N4^'
  ,A COMPANY IS DESIGN+ A S\P C T IS 9 !
%APE ( A "R CIRCUL> CYL9D]4 ,! HEI<T ( !
C W 2 #C "TS ! RADIUS ( ! C4 ,! VOLUME (
! C W 2 #CEJ CUBIC C5TIMET]S4

#F4 ,: M1SURE;T1 9 C5TIMET]S1 IS CLOSE/
    TO ! RADIUS ( ! S\P C8 _%
  ;,A_4 #2.3 CM
  ;,B_4 #3.3 CM
  ;,C_4 #6.9 CM
  ;,D_4 #9.9 CM _:











                                     #GJ
            ,,MCAP ,GEOMETRY        B#DG
#G4 ,: /ATE;TS >E CORRECT8
      ,SELECT ^1ALL T APPLY4
  ,A4 ,! L5G? ( _% ",Q,R<:] _: IS #C
    UNITS4
  ;,B4 ,! L5G? ( _% ",R,S<:] _: IS #H
    UNITS4
  ;,C4 ,! L5G? ( _% ",Q,S<:] _: IS #AI
    UNITS4
  ;,D4 ,! L5G? ( _% ",R,T<:] _: IS #AC
    UNITS4
  ;,E4 ,! L5G? ( _% ",S,T<:] _: IS #I
    UNITS4











                                     #GB
            ,,MCAP ,GEOMETRY         #DH
      @.<,USE ! FIGURE ON ! NEXT
    PAGE4@.>
  ^7,"Q #H REF]S TO ! FOLL[+ 9=MA;N4^'
  ,9 ! FIGURE %[N1 PO9T ;,M IS ! MIDPO9T
( _% ",R,S<:] _: & ! L5G? (
_% ",Q,R<:] _: IS GIV5 9 UNITS4

#H4 ,: VALUE ^1BE/ REPRES5TS ! L5G?1 9
    UNITS1 ( _% ",R,M<:]_8
  ;,A_4 #41.6
  ;,B_4 #24.0
  ;,C_4 #20.8
  ;,D_4 #12.0 _:










                                     #GC
            ,,MCAP ,GEOMETRY         #DI

,/OP4

  ,Y H COME TO ! 5D ( ,SEC;N #D ( ! TE/4
,REVIEW YR ANSW]S F ,SEC;N #D ONLY4


















                                     #GE