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AAS. Two angles and a non-included side. Corresponding parts. - PowerPoint PPT Presentation
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AAS
Theorem 4.5 AAS (Angle-Angle-Side) Congruence Theorem
If __________________________________________________________ of one triangle are
congruent to _________________________________________________________ of another
triangle, then the triangles are congruent.
Note: While ASA can be used anytime AAS can be used and vice-versa, they are different. The congruence markings on your triangles and the steps in your proofs must agree with the congruence postulate/theorem you use.
Two angles and a non-included side
Corresponding parts
Example: Are the triangles congruent, and if so, why?
𝐴𝑆𝐴 𝐴𝐴𝑆
Example: Name the congruent triangles and give the reason for their congruence. None is a possible answer.
C
A L F
H S
R
O
E
E
N
F
I K
𝐴𝐴𝑆∆ 𝐴𝐶𝐿≅ ∆ 𝐴𝐶𝐹
𝐴𝑆𝐴∆𝑂𝐻𝐸≅∆𝑂𝑆𝑅
𝑛𝑜𝑛𝑒