Geometry

Question Analysis:
This question involves the relationship between a perpendicular line and a plane.
The main focus is on correctly applying the Law of Detachment to a geometric postulate.

Key Concept Explanation:
The Law of Detachment states: If "If p, then q" is true and p is known to be true, then q must also be true.
Here, p = "A line is perpendicular to a plane," and q = "It is perpendicular to every line in the plane that passes through its foot."

Step-by-Step Solution:
Identify the given conditional statement:
"If a line is perpendicular to a plane, then it is perpendicular to every line in the plane that passes through its foot."
Apply the Law of Detachment:
If we know a line is perpendicular to a plane, then the conclusion directly follows that it is perpendicular to all lines in that plane that pass through its foot.
The correct answer is B, as it follows logically from the given statement.

Option Analysis:
A: Incorrect. The perpendicularity applies only to the plane, not all lines in space.
B: Correct. ...