Geometry

Question Analysis:
This question tests the understanding of the biconditional statement.
The main focus is on identifying the correct symbolic representation of "p if and only if q."

Key Concept Explanation:
A biconditional statement ("p if and only if q") means that both p→q and q→p are true.
Symbolically, it is represented as p↔q.

Step-by-Step Solution:
The phrase "p if and only if q" means:
If p is true, then q is true (p→q).
If q is true, then p is true (q→p).
The biconditional combines these two statements into one: p↔q.
The correct answer is C.

Option Analysis:
A) p→q
This represents only one direction of the biconditional ("if p, then q"), not the full "if and only if."
B) q→p
This represents the converse of the conditional ("if q, then p"), not the full "if and only if."
C) p↔q
This is the correct representation of the biconditional statement.
D) ∼p→∼q