Geometry

Question Analysis:
This question involves applying syllogistic reasoning using the given conditional statements about polygons.
The main focus is on using the properties of a square and the relationship between square - related and rhombus - related properties to draw a conclusion about a specific polygon.

Key Concept Explanation:
We have a chain of conditional statements. The first statement gives a property of squares (all sides are congruent).
The second statement gives a relationship between polygons with congruent sides and rhombuses.

Step - by - Step Solution:
Given:
Premise 1: If a polygon is a square, then all its sides are congruent.
Premise 2: If all sides of a polygon are congruent and it has four sides, then it is a rhombus.
Premise 3: Polygon PQRS is a square.
Since PQRS is a square (Premise 3), by Premise 1, all its sides are congruent.
And since it has four sides (as it is a square) and all its sides are congruent, by Premise 2, it is a rhombus.

Option Analysis:
Option A: As shown in the step - by - step solution, since PQRS is a square, it h...