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 equilateral triangles.

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: "Triangle ABC is equilateral."
To use the Law of Detachment, we need a conditional statement where Q is "Triangle ABC is equilateral."
Option B provides the correct structure:
Conditional: "If a triangle has all sides equal, then it is equilateral."
Premise: "Triangle ABC has all sides equal."
The conclusion follows directly from the Law of Detachment.

Option Analysis:
A) Incorrect. The conditional statement does not lead to the conclusion.
B) Correct. This pair follows the Law...