Geometry

Question Analysis: This question involves the definition of congruent polygons.
The main focus is on the criteria for polygon congruency.

Key Concept Explanation: Two polygons are congruent if and only if their corresponding sides and angles are equal.
This means that one polygon can be transformed into the other through rigid motions (translations, rotations, or reflections) without changing size or shape.

Step-by-Step Solution:
The definition of congruent polygons requires both sides and angles to be equal.
Options A and D do not guarantee congruency since two polygons with the same number of sides or the same perimeter may still have different shapes.
Option B is incorrect because similar polygons have the same shape but different sizes, not ...