Geometry

Question Analysis:
This question involves identifying the correct pair of statements that allow the conclusion to be reached using the Law of Detachment.
The main focus is on understanding the properties of parallelograms.

Key Concept Explanation:
The Law of Detachment requires a conditional statement ("If P, then Q") and a premise (P) to conclude Q.

Step-by-Step Solution:
The conclusion is: "Quadrilateral WXYZ is a parallelogram."
To use the Law of Detachment, we need a conditional statement where Q is "Quadrilateral WXYZ is a parallelogram."
Option A provides the correct structure:
Conditional: "If a quadrilateral has two pairs of parallel sides, then it is a parallelogram."
Premise: "Quadrilateral WXYZ has two pairs of parallel sides."
The conclusion follows directly from the Law of Detachment.

Option Analysis:
A) Correct. This pair follows the Law of Detachment.
B) Incorrect. The conditional statem...