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 Triangle ASA and AAS Although in two congruent triangles each side of one must be equal in size to each corresponding side of the other, and each angle of one must be equal in measure to its corresponding angle, it is not necessary to prove that in order to prove two triangles congruent. Several postulates follow that name minimum conditions for two triangles to be congruent: Angle-Side-Angle (ASA) Postulate If two angles of one triangle and the side between them are congruent to the corresponding parts of a second triangle, then the two triangles are congruent.  Is there enough information to say if these two triangles are congruent? Solution: Remember that: Consequently Angle-Angle-Side (AAS) Postulate If two angles of one triangle and a side not between them are congruent to the corresponding parts of a second triangle, them the two triangles are congruent.  Given the following parallel lines, are these two triangles congruent? We can conclude that Consequently 