The option that shows two triangles that are congruent by the AAS Congruence Theorem as shown in the diagram attached below is: 2 right triangles (ΔKGJ and ΔLGJ) are connected at one side (side GJ). The triangles have 1 congruent side (GJ) and 2 congruent angles (∠GLJ ≅ ∠GKJ and ∠KGJ ≅ ∠LGJ). The second triangle (ΔLGJ) is a reflection of the first triangle (ΔKGJ ). (Option A is correct).
Recall:
- For two triangles to be proved congruent by the AAS Congruence Theorem, the two triangles must have two pairs of congruent angles and a pair of congruent sides that do not lie between the two known angles (non-included side).
The diagram (see attached image below) that shows two triangles that are congruent by the AAS Congruence Theorem is shown is: 2 right triangles (ΔKGJ and ΔLGJ) are connected at one side (side GJ). The triangles have 1 congruent side (GJ) and 2 congruent angles (∠GLJ ≅ ∠GKJ and ∠KGJ ≅ ∠LGJ). The second triangle (ΔLGJ) is a reflection of the first triangle (ΔKGJ ). (Option A is correct).
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