36. Congruence and similarity.docxVIP免费

Congruenceandsimilarity1.Inthefigureabove,BCandADareparallel.Whatisthelength,incentimeters(cm),ofBF?Correctanswer:10Level:32.Note:figurenotdrawntoscaleTrianglesJKLandRSTareshownabove.Anglesaregiveninradians,tothenearesthundredth.Whatisthevalueofθinradians,tothenearesttenth?Correctanswer:1.3Level:33.Inthediagramabove,triangleAFGissimilartotriangleABC.Whatisthemeasureof∠AGF,indegrees?Correctanswer:78Level:34.Inthediagramatleft,supposea=23x.Whatisthemeasureofx?Correctanswer:54°Level:35.Inthediagramatleft,ADiscongruenttoBD.Whichofthefollowingstatementsistrue?A.AEbisects∠CABB.∠ACBiscongruentto∠ABCC.triangleABCisisoscelesD.AEisamedianof△ABCCorrectanswer:CLevel:36.Thediagramatleftshowsfourlines:AB,CD,AD,andBC.Whichofthefollowingstatementsistrue?A.∠ABCmeasures88°B.∠BCDmeasures80°C.ADintersectsBCD.ADisparalleltoBCCorrectanswer:CLevel:47.Inthediagramatleft,ABiscongruenttoBC.Whichofthefollowingstatementsistrue?A.∠DACiscongruentto∠DCAB.∠BACiscongruentto∠BCAC.∠ABCiscongruentto∠ADCD.∠BADiscongruentto∠BCDCorrectanswer:BLevel:48.IsoscelestrianglesABCandDEFshownabovearesimilartriangles.ThelengthABequalsthelengthBC,andthelengthDEequalsthelengthEF.Whatisthevalueofvinradians,tothenearesthundredth?Correctanswer:2.09Level:49.Giventhelengthsofthesegmentsinthefigureabove,whatisthelength,tothenearesttenth,ofn?Correctanswer:425Level:410.Inthefigureatleft,linescanddareparallel.Whatisthevalueofx?Correctanswer:8Level:411.Note:figurenotdrawntoscaleParallelogramABCDshownaboveiscongruenttoparallelogramPQRS.Whatisthevalueofainradians,tothenearesthundredth?Correctanswer:0.39Level:412.Thediagramatleftshowsarectangularbilliardtablewithawidthof39inches(in)andalengthof78in.AplayeristryingtoshoottheredballlocatedatpointH,intothecornerpocketDbybouncingtheballoffofapointRthatisxinchesfrompointB.TheplayerknowsthatwhentheballbouncesoffpointR,∠HRBwillbecongruentto∠DRC.IfthepointBBisthemidpointofACandtheredballis15inaboveB,approximatelywhatisthevalueofx?A.7inB.9inC.11inD.13inCorrectanswer:CLevel:413.Giventhefigureatleft,whichofthefollowingstatementsmustbetrue?A.ABisparalleltoDE.B.CisthemidpointofBD.C.TriangleCBAiscongruenttotriangleCDE.D.∠ABCand∠DCEareverticalangles.Correctanswer:ALevel:414.IntriangleABCshownatleft,tickmarksofequalnumberrepresentsidesofequallength.Therefore,thepointalonglinesegmentABisthemidpointofAB.Whatisthevalueofβintermsofαandt?A.αB.tC.π2–αD.π2–αCorrectanswer:BLevel:415.Inthediagramatleft,linevtransverseslinesw,x,y,andz.Giventheanglemeasurementsshown,whichpairoflinesisparallel?A.LineswandxB.LinesyandzC.LineswandyD.LinesxandzCorrectanswer:ALevel:416.BothsquareABCDandsquareEFGHshownatlefthavecenterQ.However,theydonothavethesamearea.Whichofthefollowingmustbetrue?A.α∘=w∘B.α∘=−w∘C.α∘=90∘−w∘D.α∘=180∘−w∘Correctanswer:ALevel:4