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What do you know about â–ł ABC and how does that limit the theorems we can use to prove congruence?
â–ł GHJ and â–ł NPQ
Examining â–ł ABC, we notice a couple of things.
&SAS Congruence Theorem &ASA Congruence Theorem &AAS Congruence Theorem
To use SAS, we need to know two sides and the included angle in any of the triangles. If they are congruent to two sides and the included angle of â–ł ABC, we can prove congruence by the SAS Congruence Theorem.
To use either of these theorems, we need two angles and the included side (ASA) or non-included side (AAS) of any of the triangles. If they are congruent to two angles and the included or non-included side of â–ł ABC, we can prove congruence by the ASA Congruence Theorem or the AAS Congruence Theorem.
The only triangles that fit either of these descriptions are â–ł GHJ and â–ł NPQ.