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Then2(4m+3b)=2m+2GeometryStrategiesGeneralProblem-SolvingStrategiesAsintheAlgebraHandout,wewillrestatethefourgeneralproblem-solving strategiesfromtheGeneralProblemTheproblemsandsolutionsforthisAMCwerepreparedbytheMAA’sCommitteeontheAMCandAMCunderthedirection ofAMCSubcommitteeChair:DrLeroyClickheretodownloadMC35GAMC/AdvancedGeometryTheshadedportionsoftheupperrightandlowerleft squaresmakeupone-halfsquareChapterAnglesAnswer(C):Theupperleftandthelowerrightsquaresareeachone-fourthshaded,foratotalofone-half squareWegavethisasanalgebra-specificstrategyintheAlgebraHandout,butitisevenmoreapplicabletogeometry,astherearenumerouswaystoviewthe manypartsofgivenge-ometricfiguresinaproblemSolutionThen2(4m+3b)=2m+b,andsimplifyinggivesm=b(A)(B)(C)(D)(E)AMCA,Problem3 “Find onethirdofthedifferencebetween1Lookatproblemsorpartsofproblemsfromdifferentperspec-tives;don’tgetstuckinoneperspectiveWhatisthedegree measureof\AMD?[AIME]OnsquareABCD,pointEliesonsideADandpointFliesonsideBC,sothatBE=EF=FD=Leta