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 perpendicular lines.

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: "Line MN is perpendicular to Line PQ."
To use the Law of Detachment, we need a conditional statement where Q is "Line MN is perpendicular to Line PQ."
Option B provides the correct structure:
Conditional: "If two lines intersect at a right angle, then they are perpendicular."
Premise: "Line MN intersects Line PQ at a right angle."
The conclusion follows directly from the Law of Detachment.

Option Analysis:
A) Incorrect. The conditional statement does not lead to the conclusion.
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