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Least amount of information to prove congruence by asa

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Final answer:

To demonstrate congruence in two triangles through ASA (Angle-Side-Angle), you need knowledge of one side of the triangle and the two angles adjacent to that side. For instance, if matching angles and the included side between them in two separate triangles are equal, the triangles are congruent.

Step-by-step explanation:

In Mathematics, to prove two triangles are congruent by Angle-Side-Angle (ASA), you need the following pieces of information: one side of the triangle and the two angles adjacent to that side. Specifically, we need to know that two pairs of corresponding angles and the included side between them are equal.

For example, if you have two triangles, Triangle A and Triangle B, and you know that Angle A is equal to Angle B, Angle C is equal to Angle D, and side AC is equal to side BD, you can say that Triangle A is congruent to Triangle B using ASA.

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