Geometry

Question Analysis:
This question tests the understanding of the converse of a conditional statement.
The main focus is on identifying the correct symbolic representation of the converse of p→q.

Key Concept Explanation:
The converse of a conditional statement p→q is formed by swapping the hypothesis and conclusion.
Symbolically, the converse is represented as q→p.

Step-by-Step Solution:
Original statement: p→q
Hypothesis (p): "If p is true."
Conclusion (q): "Then q is true."
Converse: Swap the hypothesis and conclusion.
New hypothesis (q): "If q is true."
New conclusion (p): "Then p is true."
Symbolic representation of the converse: q→p.
The correct answer is C.

Option Analysis:
A) p↔q
This represents a biconditional statement ("if and only if"), not the converse.
B) ¬p→¬q
This represents the inverse of the statement, not the converse.
C) q→p
This is the correct representation of the converse.
D)

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