Geometry

Question Analysis：
This question involves the concept of congruence of quadrilaterals.
The main focus is on determining whether equal corresponding sides are sufficient to guarantee the congruence of two quadrilaterals.

Key Concept Explanation:
Congruent polygons have the same shape and size.
For triangles, the Side - Side - Side (SSS) criterion is sufficient to prove congruence.
However, for quadrilaterals, just having all corresponding sides equal is not enough.
The shape of a quadrilateral can still vary depending on the angles between the sides.

Step-by-Step Solution：
Consider two quadrilaterals with all corresponding sides equal.
For example, a square and a rhombus.
A square has all angles equal to 90°, while a rhombus has non - right angles (in general).
Even though their side lengths can be made the same, their shapes are different.
This shows that just because the sides are equal, the quadrilaterals may not be congruent due to differences in angles.

Option Analysis：
A) "Yes, because SSSS guarantees congruency" is incorrect.
There is no SSSS (Side - Side - Side - Side) congruence criterion for quadrilaterals like there is SSS for triangles.
B) "No, because angles may differ" is correct.
As demonstrated with the square and rhombus example, equal sides do not ensure equal angles, and thus the quadrilaterals may not be congruent.
C) "Only if diagonals are equal" is incorrect.
Equal diagonals are not the determining factor for the congruence of quadrilaterals when all sides are already equal.
The angles between the si...