Download ch 1 Standardized Test

Mr. Q’s Honors Geometry Christmas Break 2012 Homework!
To keep you fit during the off-season and ready for the New Year!
All of the questions are multiple choice. At the end of each assessment are the answers. Do NOT look at the answers
before completing the assessment. That defeats the entire purpose of this if you do! Complete the assessment on a
separate sheet of paper and show your work (if possible), check your answers, highlight which questions you got wrong,
and redo those questions on another sheet of paper. If you redo a question and still did NOT get the correct answer,
write it down and we’ll go over it in class.
It is OK to get questions wrong just as long as you learn from your mistakes!
You will have your mom or dad sign this sheet below stating that you completed the assessment, checked your answers,
redid the questions you got wrong, and writing the date of completion.
Do NOT wait until the night before school starts or even worse the morning of the first day of school to complete this
assignment!
Chapter 1 Standardized Test #s 1-11,15
Parent’s signature:_________________________________ Date:___________________________
Questions to go over in class:_________________________________________________________
Chapter 2 Standardized Test #s 1-3,5,6,8-13
Parent’s signature:_________________________________ Date:___________________________
Questions to go over in class:_________________________________________________________
Chapter 3 Standardized Test #s 1-10,12,13,14
Parent’s signature:_________________________________ Date:___________________________
Questions to go over in class:_________________________________________________________
Chapter 4 Standardized Test #s 1-12,16
Parent’s signature:_________________________________ Date:___________________________
Questions to go over in class:_________________________________________________________
Chapter 5 Standardized Test #s 1,2,10,11,12
Parent’s signature:_________________________________ Date:___________________________
Questions to go over in class:_________________________________________________________
Chapter 6 Standardized Test #s 1,3,4,5-10
Parent’s signature:_________________________________ Date:___________________________
Questions to go over in class:_________________________________________________________
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Ê z "#z #$z $!z L° 5SING THE DISTANCE
FORMULA AND 333 OR (, Ng!"# N !$#
V° 5SING THE DISTANCE FORMULA AND 333
N"%# N"%! Ng!%$ N#%$
`° 5SING THE DISTANCE FORMULA AND (, Ng!%" N#%" N#%$ AND Ng!%$ ARE RIGHT TRIANGLES
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#(!04%2
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Ê x° 0OINT ! IS THE INCENTER OF N&'( &IND !3
6 Ê £° 4HE SEGMENT CONNECTING THE MIDPOINTS OF
TWO SIDES OF A TRIANGLE IS PARALLEL TO THE THIRD
SIDE AND IS 6 TWICE AS LONG
8 7 HALF AS LONG
] ] ] ] ]
Ê Ó° )F 23z 24z 34z 79z 7:z AND 9:zARE ALL
Ê
Ê
8 7 Ž .:+ Ž /:+
6 8+ 9+
] ]
8 .+z> 9:z
9 ]
9 -+ /+
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Ê Î° )F 13zIS THE PERPENDICULAR BISECTOR OF 02z
MEDIANS OF A TRIANGLE IS CALLED THE OF THE TRIANGLE
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7 $% %& &$
8 1$ 1% 1&
9 Ž %1+ Ž &1, Ž $1*
'EOMETRY
#HAPTER !SSESSMENT "OOK
9 CENTROID
Ê
6 6 Ž *1+ Ž +1, Ž ,1*
8 MEDIAN POINT
9 ] z
Ê {° "Y THE #ONCURRENCY OF
0ERPENDICULAR "ISECTORS
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4HEOREM IF 1*z 1+z AND
]
1,zARE PERPENDICULAR
BISECTORS THEN 7 CENTRINO
Ê n° )F POINT 0 IS THE CENTROID OF N !"# lND #0
7 q z 8 q z
6 TRISECTOR POINT
7 ]
z
8 ] z
9 ] z
Ê ™° 7HICH IS THE LONGEST SIDE OF N$%&
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6 $%z
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7 $&z
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8 %&z
9 CANNOT BE DETERMINED
#OPYRIGHT ¥ BY -C$OUGAL ,ITTELL A DIVISION OF (OUGHTON -IFmIN #OMPANY
Ê Ç° 4HE POINT OF CONCURRENCY OF THE THREE
lND 23
6 ]z
7 6 ]z
WHICH STATEMENT CAN YOU NOT CONCLUDE
Ê È° 'IVEN THE INSCRIBED CIRCLE WITH CENTER +
MIDSEGMENTS lND X
9 ]
7 8 ONE THIRD AS LONG 9 THE SAME LENGTH
$ATE ˆˆˆˆˆˆˆˆˆˆˆˆ
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6 7 ʣΰ ' IS THE CENTROID OF
N-.0 AND *0 &IND THE PERIMETER OF
N-*2
8 9 Ê
Ê YOU CAN CONCLUDE
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6 MŽ +,- MŽ 132
-…œÀÌÊ,i뜘Ãi
Ê£{° )N N012 01 AND 02 7RITE AN
INEQUALITY TO SHOW ALL POSSIBLE VALUES FOR 12
7 13 ,8 03 ,-
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9 NONE OF THESE
#OPYRIGHT ¥ BY -C$OUGAL ,ITTELL A DIVISION OF (OUGHTON -IFmIN #OMPANY
Ê£x° ! CAMPGROUND HAS A CONVENIENCE STORE
LOCATED YARDS DUE SOUTH OF THE SHOWER
FACILITIES 4HERE IS A GAME ROOM YARDS
DUE EAST OF THE CONVENIENCE STORE
Ê£Ó° "ASED ON THE DIAGRAM WHICH IS A TRUE
STATEMENT
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Ê££° 5SING THE (INGE 4HEOREM AND THE DIAGRAM
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6 MŽ ! MŽ $
7 MŽ ! MŽ $
8 MŽ ! MŽ $
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9 % IS THE MIDPOINT OF "#z
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>° #AMPER ! LEAVES THE GAME ROOM FOR
THE SHOWER 7HAT IS THE SHORTEST TRAVEL
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L° #AMPER " IS DOING LAUNDRY HALF WAY
BETWEEN THE GAME ROOM AND THE
CONVENIENCE STORE &IND THE SHORTEST
DISTANCE #AMPER " CAN TRAVEL TO GET TO
THE POOL LOCATED HALF WAY BETWEEN THE
STORE AND THE SHOWER
V° #AMPER # IS LOST STANDING AT THE
CONVENIENCE STORE FACING WEST )F HIS
TENT IS EQUIDISTANT FROM THE STORE THE
SHOWER AND THE GAME ROOM PROVIDE
TWOSTEP INSTRUCTIONS TO GET #AMPER #
BACK TO THE TENT
'EOMETRY
#HAPTER !SSESSMENT "OOK
!NSWER +EY
…>«ÌiÀÊx
-Ì>˜`>À`ˆâi`Ê/iÃÌ
£° " Ó° $ ΰ " {° #ÊÊÊx° ! È° ! Ç° $
n° "ÊÊʙ° ! £ä° " ££° # £Ó° ! £Î° £{°Ê 12 £x°Ê>°Ê YD
L° "Y THE 0YTHAGOREAN 4HEOREM A B C SO C AND C "Y THE -IDSEGMENT 4HEO
REM BECAUSE THE POOL AND LAUNDRY ROOM ARE MIDPOINTS THE DISTANCE FROM THE LAUNDRY ROOM TO THE POOL IS
HALF THE DISTANCE FROM THE GAME ROOM TO THE SHOWER
V° 4URN CLOCKWISE AND WALK FORWARD YARDS
.AME ˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆ
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Ê Ç° 5SE THE !NGLE!NGLE 3IMILARITY 0OSTULATE
TO DETERMINE WHICH PAIR OF TRIANGLES IS
NOT SIMILAR
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6 IN
7 IN
6
ÊÊWIDE IS THE RECTANGLE IF IT IS INCHES LONG
9 ]zIN
8 ] zIN
!
8
7 8 9 Ê Î° /NE SERVING OF A COOKIE RECIPE CALLS FOR
TABLESPOONS OF SUGAR )F ONE SERVING MAKES
ENOUGH FOR PEOPLE HOW MUCH SUGAR IS
NEEDED TO SERVE PEOPLE
6 4BS
7 4BS
8 4BS
9 4BS
#OPYRIGHT ¥ BY -C$OUGAL ,ITTELL A DIVISION OF (OUGHTON -IFmIN #OMPANY
ARE CONGRUENT AND THE CORRESPONDING SIDE
LENGTHS ARE PROPORTIONAL THEN THE TWO
POLYGONS ARE 6 REGULAR
7 CONCAVE
8 SIMILAR
9 EQUILATERAL
Ê
ÊÊ
6 7 8 9 Ê ™° )F N012 N&'( lND 12
Ê
ÊÊ 6 ] z
7 8 9 Ê£ä° 7HICH 3IMILARITY 4HEOREM CAN BE USED TO
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6 333
7 N234 IF THE SCALE FACTOR OF N !"# TO
ÊÊN234 IS ]z
Ê n° &IND X
Ê x° 'IVEN N !"# N234 lND THE PERIMETER OF
Ê
!
!
!
6 Ê {° )F THE CORRESPONDING ANGLES OF TWO POLYGONS
9 !
!
Ê Ó° &IND THE GEOMETRIC MEAN OF AND 6 7
8 7 !!
Ê È° )F TWO ANGLES OF ONE TRIANGLE ARE CONGRUENT
TO TWO ANGLES OF ANOTHER TRIANGLE THEN THE
TRIANGLES ARE 9 !!3
8 3!3
9 Ê££° )F A LINE PARALLEL TO ONE SIDE OF A TRIANGLE
INTERSECTS THE OTHER TWO SIDES THEN IT DIVIDES
THE TWO SIDES 6 EQUILATERAL
7 CONGRUENT
6 EQUALLY
7 PROPORTIONALLY
8 EQUIANGULAR
9 SIMILAR
8 CONGRUENTLY
9 PERPENDICULARLY
'EOMETRY
#HAPTER !SSESSMENT "OOK
.AME ˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆ
#(!04%2
-Ì>˜`>À`ˆâi`Ê/iÃÌÊ CONTINUED
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lND -+
8 ʣΰ &IND 35
6 7 ÝÌi˜`i`Ê,i뜘Ãi
9 7 8 Ê£n° ! PHOTOGRAPHY COMPANY SELLS SCHOOL PICTURE
PACKAGES AS SHOWN
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n n n n n
n
n
n
n
n 8 Ê£{° &IND 9:
LENGTHWISE TIMES &IND THE RATIOS OF
LENGTH WIDTH AND AREA OF EACH CONGRUENT
RECTANGLE FORMED TO THAT OF THE ORIGINAL SHEET
OF PAPER &IND THE SAME RATIOS FOR FOLDS AND
FOLDS
9 9 Ê£x° 7HICH OF THE FOLLOWING SET OF POINTS COULD
FORM A DILATION OF A POLYGON WITH VERTICES
! " # AND $ 6 7 8 9 : 7 7 8 9 : 8 7 8 9 : 9 7 8 9 : Àˆ``i`ʘÃÜiÀÊ
Ê
>° 7HICH SELECTIONS HAVE A PRICE TO
Ê
L° 7HICH PORTRAIT SIZES ARE ENLARGEMENT
Ê
DILATIONS OF ANOTHER SIZE AND BY WHAT
SCALE FACTOR
V° )F EACH SELECTION PRINTS IN ITS ENTIRETY
ON ONE SHEET OF PAPER WHICH SELECTIONS
COULD PRINT ON CONGRUENT RECTANGLES
SQUARE INCH RATIO SMALLER THAN ʣȰ &IND M
ÊÊ
'EOMETRY
#HAPTER !SSESSMENT "OOK
#OPYRIGHT ¥ BY -C$OUGAL ,ITTELL A DIVISION OF (OUGHTON -IFmIN #OMPANY
7 6 -…œÀÌÊ,i뜘Ãi
ʣǰ &OLD A INz IN SHEET OF PAPER
6 Ê
$ATE ˆˆˆˆˆˆˆˆˆˆˆˆ
!NSWER +EY
…>«ÌiÀÊÈ
-Ì>˜`>À`ˆâi`Ê/iÃÌ
£° $ÊÊÊÓ° " ΰ ! {° #ÊÊÊx° ! È° $ Ç° $
n° "ÊÊʙ° # £ä° # ££° " £Ó° " £Î° $
£{°Ê! £x°Ê# £È°Ê
£Ç°ÊLENGTH IS WIDTH IS AREA IS !FTER FOLDS LENGTH IS WIDTH IS AREA IS !FTER FOLDS LENGTH IS WIDTH IS AREA IS £n°Ê>°Ê! " # %
L° 4HE IS AN ENLARGEMENT DILATION OF THE BY A SCALE FACTOR OF 4HE IS AN ENLARGE
MENT DILATION OF THE BY A SCALE FACTOR OF 4HE IS AN ENLARGEMENT DILATION OF THE BY A
SCALE FACTOR OF 4HE IS AN ENLARGEMENT DILATION OF THE BY A SCALE FACTOR OF V° # AND
% COULD PRINT ON A ' ) AND * COULD PRINT ON AN