It happens when you have 2 angles and 1 side in common at the same spot in two triangle at same time...
see the image...
Side
A C ≡ D F
First Angle
A B ˆ C ≡ D E ˆ F
Second Angle
B C ˆ A ≡ E F ˆ D
AAS congruence is a criterion used to determine if two triangles are congruent based on the measures of their angles and sides.
AAS congruence stands for 'Angle-Angle-Side' congruence, which is a criterion used to determine if two triangles are congruent. If two angles of one triangle are congruent to two angles of another triangle, and the included side between the two angles is congruent, then the two triangles are congruent. This can be represented as:
Angle A = Angle D
Angle B = Angle E
Side AB = Side DE
If these conditions are met, then the two triangles are congruent.
Learn more about AAS congruence here:
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AAS congruence refers to the criterion where two triangles are considered congruent if two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle. This means that if you have two triangles with two equal angles and the side between them is also equal, then the triangles are congruent. This property can be used to prove other relationships between triangles and their dimensions.
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