As you can see from thesetwo proofsof the theorem,thereare manydifferentwaysof expressingthe same
information.It is importantthat you becomefamiliarwith provingthingsusingall of thesestylesbecause
you may find that differenttypesof proofsare bettersuitedfor differenttheorems.
LessonSummary
In this lesson,we exploredtrianglecongruence.Specifically, we havelearnedto:
- Understandand applythe ASA CongruencePostulate.
- Understandand applythe AAS CongruencePostulate.
- Understandand practiceTwo-ColumnProofs.
- Understandand practiceFlowProofs.
Theseskillswill help you understandissuesof congruenceinvolvingtriangles.Alwayslook for trianglesin
diagrams,maps,and othermathematicalrepresentations.
Pointsto Consider
Now that you havebeenexposedto the SAS and AAS postulates,thereare evenmoretrianglecongruence
postulatesto explore.The next lessondealswith SAS and HL proofs.
LessonExercises
Use the followingdiagramfor exercises1-3.
- Completethe followingcongruencestatement,if possible ____.
- Whatpostulateallowsyou to makethe congruencestatementin 1, or, if it is not possibleto makea con-
gruencestatementexplainwhy.