Final answer:
The postulates to prove each pair of triangles congruent are: Corresponding Angles Postulate, Side-Angle-Side Postulate, Vertical Angles Postulate, and Alternate Interior Angles Postulate.
Step-by-step explanation:
The postulate to prove each pair of triangles congruent can be determined based on the given information about the triangles. Here are the postulates for each scenario:
A) Corresponding Angles Postulate: If the corresponding angles of two triangles are congruent, then the triangles are congruent.
B) Side-Angle-Side Postulate: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
C) Vertical Angles Postulate: If the vertical angles of two triangles are congruent, then the triangles are congruent.
D) Alternate Interior Angles Postulate: If the alternate interior angles of two triangles are congruent, then the triangles are congruent.