- a. units,b. units,c. units[Diff: 2]
- a. units,b. units,c. units[Diff: 2]
- (Note,otheranswersare possible,but the relativeorderof the lettersdoesmatter.)
[Diff: 2] - [Diff: 3]
- SSS [Diff: 2]
- , the side-side-sidetrianglecongruencepostulate[Diff: 3]
9.. We knowthis becauseit correspondswith , so [Diff: 3]
10.. Usedthe trianglesum theoremtogetherwith my answerfor 9. [Diff: 3]
TriangleCongruenceUsingASAand AAS
LearningObjectives
- Understandand applythe ASA CongruencePostulate.
- Understandand applythe AAS CongruenceTheorem.
- Understandand practicetwo-columnproofs.
- Understandand practiceflow proofs.
Introduction
The SSSCongruencePostulateis one of the waysin whichyou can provetwo trianglesare congruent
withoutmeasuringsix anglesand six sides.The next two lessonsexploreotherwaysin whichyou can prove
trianglescongruentusinga combinationof sidesand angles.It is helpfulto knowall of the differentways
you can provecongruencebetweentwo triangles,or rule it out if necessary.
ASACongruence
One of the otherwaysyou can provecongruencebetweentwo trianglesis theASA CongruencePostulate.
The “S” represents“side,”as it did in the SSS Theorem.“A” standsfor “angle”and the orderof the letters
in the nameof the postulateis crucialin this circumstance.To use the ASA postulateto showthat two triangles