摘要
Fortwotrianglestobecongruent,SAStheoremrequirestwosidesandtheincludedangleofthefirsttriangletobecongruenttothecorrespondingtwosidesandincludedangleofthesecondtriangle.Ifthecongruentanglesarenotbetweenthecorrespondingcongruentsides,thensuchtrianglescouldbedifferent.Itturnsoutthatitispossibletodescribefourcasesinwhichtrianglesarecongruenteventhoughcongruentangles.Fortwotrianglestobecongruent,SAStheoremrequirestwosidesandtheincludedangleofthefirsttriangletobecongruenttothecorrespondingtwosidesandincludedangleofthesecondtriangle.Ifthecongruentanglesarenotbetweenthecorrespondingcongruentsides,thensuchtrianglescouldbedifferent.Itturnsoutthatitispossibletodescribefourcasesinwhichtrianglesarecongruenteventhoughcongruentanglesarenotbetweenthecorrespondingcongruentsides.Suchatheoremcouldbenamed,forexample,SSAtheorem.ManytextsstatethattwotrianglescannotbeshowntobecongruentiftheconditionofSSAexists.However,theauthordescribescasesinwhichsuchtrianglescouldbeprovencongruentwiththeSSAtheorem.Animmediateconsequenceofthisnewunderstandingisthenecessityofrevisingmanyproblemsandanswersinhighschoolandcollege-leveltextsrelatedtocongruenttriangles.arenotbetweenthecorrespondingcongruentsides.Suchatheoremcouldbenamed,forexample,SSAtheorem.Animmediateconsequenceofthisnewunderstandingisthenecessityofrevisingmanyproblemsandanswersinhighschoolandcollege-leveltextsrelatedtocongruenttriangles.
出版日期
2018年02月12日（中国期刊网平台首次上网日期，不代表论文的发表时间）
