We will begin by reviewing the SAS Theorem.
SAS Theorem
If two sides and theincluded angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
To use the SAS Theorem, we would need the congruent angles to be included between the congruent sides. Thus, if BC ≅ EF, then by the SAS Theorem, we could show that △ ABC ≅ DEF.
ASA Theorem
Now, let's review the ASA Theorem.
ASA Theorem
If two angles and theincluded side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
To use the ASA Theorem, we would need the congruent sides to be included between the congruent angles. Thus, if ∠ A ≅ ∠ D, then by the ASA Theorem, we could show that △ ABC ≅ DEF.
AAS Theorem
Finally, let's review the AAS Theorem.
AAS Theorem
If two angles and anonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the two triangles are congruent.
To use the AAS Theorem, we would need the congruent sides to not be included between the congruent angles. Thus, if ∠ C ≅ ∠ F, then by the AAS Theorem, we could show that △ ABC ≅ DEF.
