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Geometry

End-of-Course AssessmentSample Questions

Regular Print Paper-Based Accommodation

TheintentofthesesampletestmaterialsistoorientteachersandstudentstothetypesofquestionsontheGeometryEOCAssessment.Byusingthesematerials,studentswhowillusetheregularprintpaperbasedaccommodationwillbecomefamiliarwiththetypesofitemsandresponseformatstheywillseeonthepaperbasedformofthetest.OncomputerbasedformsoftheGeometryEOCAssessment,studentsrespondtosomeitemsusingfillinresponseboxes.Ontheregularprintpaperbasedform,studentsrespondtothesameitemsbyfillingintheiranswersonagrid.Thesamplequestionsandanswersarenotintendedtodemonstratethelengthoftheactualtest,norshouldstudentresponsesbeusedasanindicatorofstudentperformanceontheactualtest.AdditionalinformationabouttestitemscanbefoundintheGeometryEOCAssessmentTestItemSpecificationsathttp://fcat.fldoe.org/eoc/itemspecs.asp.TheGeometryEOCAssessmentandsamplequestionsandanswersarebasedonthe2007NextGenerationSunshineStateStandards.Theregularprintpaperbasedaccommodationsamplequestionsandthesampleanswersareonlyavailableonlineathttp://fcat.fldoe.org/eoc/.Computerbasedpracticetests(ePATs)areavailableonlineatwww.FLAssessments.com/ePAT.

DirectionsforAnsweringtheGeometrySampleQuestionsMarkyouranswersinthisbooklet.Youmayneedformulasandconversionstohelpyousolvesomeoftheproblems.YoumayrefertotheReferenceSheetonpages4and5asneeded.

http://fcat.fldoe.org/eoc/itemspecs.asphttp://fcat.fldoe.org/eochttp://www.flassessments.com/ePAThttp://fcat.fldoe.org/eoc/itemspecs.asphttp://fcat.fldoe.org/eochttp://www.flassessments.com/ePAT

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FloridaDepartmentofEducation

Thisisapictureofagenericscientificcalculatoranditsparts.GENERIC SCIENTIFIC CALCULATOR

HELPFULHINTSFORUSINGASCIENTIFICCALCULATOR1. Readtheproblemverycarefully.Thendecidewhetherornotyouneedthecalculatortohelpyou

solvetheproblem.2. Whenstartinganewproblem,alwaysclearyourcalculator.3. Ifyouseeanerrormessageinthedisplay,cleartheerrorbeforeyoubegin.4. Ifthenumberinthedisplayisnotoneoftheanswerchoices,checkyourwork.5. Tofindadecimalorfractionequivalent,usethetogglekey.6. Whensolvingitems,waituntilthefinalsteptorounddecimalequivalentsand/orapproximations.Focus

onwhethertheitemspecifiesthedecimalplace,equivalentfraction,and/orpiapproximationneededfortheanswer.Inmostcases,frontendestimationandtruncationarenotaccurateprocessesforestimation.

7. Whenworkingwithcalculators,usecarefulanddeliberatekeystrokes,andalwaysremembertocheck

your

answer

to

make

sure

it

is

reasonable.

8. Locateyoursine(sin),cosine(cos),andtangent(tan)keys.Tofindtheinverse,usethe2nd/shift

key.Then,usetheappropriatetrigfunctionkey.9. Alwayscheckyouranswertomakesureyouhavecompletedallofthenecessarysteps.10. StudentsusingtheTI30XSMultiViewhandheldcalculatormustsetthemodetoCLASSIC.

Tocheckyourcalculator,presstheModekey.IfyourcalculatordoesnothaveCLASSIChighlighted,arrowdowntothatlineandhighlightCLASSICbypressingtheenterkey.ToexittheModescreen,pressquit(2ndmode).

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Manyanswersmaybeenteredaseitheradecimalorafraction,unlessthetestitemrequiresthattheanswerbegiveninaspecificform.StudentsmustNOTplacea

mixednumbersuchas13intheanswerboxes.Iftheanswerisamixednumber,

itmustbeconvertedtoanimproperfraction,suchas

,ortoadecimalnumber,

suchas13.25.If13wereenteredasis,itwouldbescoredas andwouldbe

countedasincorrect.

DirectionsforCompletingtheResponseGrids1. Worktheproblemandfindananswer.2. Writeyouranswerintheanswerboxesatthetopofthegrid.

PrintyouranswerwiththefirstdigitintheleftanswerboxORwiththelastdigitintherightanswerbox.Printonlyonedigitorsymbolineachanswerbox.DoNOTleaveablankanswerboxinthemiddleofananswer.Besuretowriteadecimalpoint,fractionbar,and/ornegativesignintheanswerboxifitispartoftheanswer.

3. Fillinabubbleundereachboxinwhichyouwroteyouranswer.FillinoneandONLYonebubbleforeachanswerbox.DoNOTfillinabubbleunderanunusedanswerbox.Fillineachbubblebymakingasolidmarkthatcompletelyfillsthecircle.YouMUSTfillinthebubblesaccuratelytoreceivecreditforyouranswer.

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orV bwh=V Bh= S A

. . =S A. . = orbh bw hw+ +2 2 2Ph B+ 2

orV r h= 2= S A. . =S A. . = rh r+2 2

2

rh B+2 2or

= 13 12

orV r h==

13

13

2

S A. . = r B( ) +12

2

=

slant height of base

a apothem S.A. surface area

b base A area

h height B area of base

w width C circumference

d diameter V volume

r radius P perimeter

180

180 2( )nn

2( )n

Algebra 1 End-of-Course and Geometry End-of-CourseAssessments Reference Sheet

Sum of the measures of the interior angles of a polygon ==Measure of an interior angle of a regular polygon

where:n represents the number of sides

Florida Department of Education

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x

x

x

x x

x

Algebra 1 End-of-Course and Geometry End-of-CourseAssessments Reference Sheet

y2 y1

x2 x1

x1 y1x2 y2

Slope formula

(x2 x1)2 + (y2 y1)2

Midpoint between two points

( (

x1

x1

y1

y1

Quadratic formula

-

Trigonometric Ratios

opposite

opposite

hypotenuse

hypotenuse

adjacent

adjacent

sin A

tan A

cos AA

Distance between two points

Slope-intercept form of a linear equation

Point-slope form of a linear equation

Special Right Triangles

Florida Department of Education

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Geometry EOC Assessment Sample Questions1. Thedimensionsandshapeofarectangularvolleyballcourtareshowninthispicture.

Whatistheapproximatedistanceofaservethatishitdiagonallyfromonecornerofthecourttotheother?A 27.0metersB 20.1metersC 15.6metersD 12.7meters

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2. Anorangejuicecompanysellsacanoffrozenorangejuicethatmeasures

9.4centimeters(cm)inheightand5.2cmindiameter.

Thecompanywantstosellalargercanofjuice.Theheightofthelargercaniskeptat9.4cm,butthediameterisincreasedto8.5cm.Abouthowmuchmorejuicewillthenewcanhold?A 1.6timesasmuchB 1.7timesasmuchC 2.7timesasmuchD 3.3timesasmuch

Geometry EOC Assessment Sample Questions

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Geometry EOC Assessment Sample Questions3. Dianareadthefollowingconditionalstatement.

Ifatrianglehasatleasttwocongruentsides,thenitisanisoscelestriangle.Whichofthefollowingstatementsisthecontrapositiveoftheconditionalstatementabove?A Ifatriangleisnotanisoscelestriangle,thenithasatleasttwocongruentsides.B Ifatriangleisnotanisoscelestriangle,thenitdoesnothaveatleast

twocongruentsides.C Ifatriangledoesnothaveatleasttwocongruentsides,thenitisnotan

isoscelestriangle.D Ifatriangleisisosceles,thenithasatleasttwocongruentsides.

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4. Atackleshopandrestaurantarelocatedontheshoreofalakeandare32meters(m)

apart.Aboatonthelakeheadingtowardthetackleshopisthedistanceof77mfromthetackleshop.Thissituationisshownonthediagrambelow,wherepointTrepresentsthelocationofthetackleshop,pointRrepresentsthelocationoftherestaurant,andpointBrepresentsthelocationoftheboat.

Geometry EOC Assessment Sample Questions

Thedriveroftheboatwantstochangedirectiontosailtowardtherestaurant.Whichofthefollowingisclosesttothevalueofx?A 23B 25C 65D 67

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Geometry EOC Assessment Sample Questions5. Onacoordinategrid,thelocationofalighthouseisatL,andthelocationofabuoyis

atB.Atnoon,thebuoyisthemidpointofthesegmentconnectingashipandthelighthouseonthegrid.

Whatistheycoordinateoftheorderedpairthatrepresentstheshipspositionatnoon?

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Geometry EOC Assessment Sample Questions6. Anengineerwantedtoapproximatethewidth,infeet(ft),ofariver.Sheplaced

markersatpointAandpointBtorepresenttheaveragewidthoftheriver.Shealsoplaced3othermarkersalongtheriverbankandmeasuredthedistancesshowninthediagrambelow.

Basedonthisdiagram,whatwasthewidthoftheriver,infeet(ft),frompointAtopointB?

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CopyrightStatementforThisOfficeofAssessmentPublicationAuthorizationforreproductionofthisdocumentisherebygrantedtopersonsactinginanofficialcapacitywithintheUniformSystemofPublicK12SchoolsasdefinedinSection1000.01(4),FloridaStatutes.Thiscopyrightnoticemustbeincludedinallcopies.Alltrademarksandtradenamesfoundinthispublicationarethepropertyoftheirrespectiveownersandarenotassociatedwiththepublisherofthispublication.PermissionisNOTgrantedfordistributionorreproductionoutsidetheUniformSystemofPublicK12SchoolsorforcommercialdistributionofthecopyrightedmaterialswithoutwrittenauthorizationfromtheFlorida

Department

of

Education.

Questions

regarding

use

of

these

copyrighted

materials

should

be

sent

to

thefollowing:

OfficeofAssessmentFloridaDepartmentofEducation

325WestGainesStreetTallahassee,Florida323990400

Copyright2012StateofFlorida

DepartmentofState