Final answer:
To verify that two triangles are congruent, a sequence of transformations such as translations, rotations, and reflections can be used, aligning corresponding vertices and sides to demonstrate identical size and shape.
Step-by-step explanation:
In order to verify that ∆ABC and ∆A"B"C" are congruent, you can use a sequence of transformations such as translations, rotations, and reflections. Suppose that ∆ABC is in a certain position, and ∆A"B"C" is identical in size and shape but in a different position, orientation, or alignment. To demonstrate congruence, you may perform a translation shifting ∆A"B"C" so that one of its vertices matches the corresponding vertex of ∆ABC. Following that, you might use a rotation to align another vertex with its counterpart. If necessary, a reflection can be the final step to ensure all corresponding sides and angles are in matching positions. This sequence of transformations would prove that both triangles are congruent without altering their size or shape.