Geometry

Question Analysis
This question involves determining the true biconditional statement based on a given condition.
The main focus is on ensuring that both the original statement and its converse are true.

Key Concept Explanation:
A biconditional statement requires both the original statement and its converse to be true, linked by "if and only if."

Step-by-Step Solution:
The given condition is: "If a quadrilateral is a parallelogram, then its opposite sides are parallel."
The converse is: "If a quadrilateral has opposite sides parallel, then it is a parallelogram."
However, for a quadrilateral to be a parallelogram, its opposite sides must also be equal in length.
Option B correctly includes both the original statement and its converse, along with the necessary additional condition.

Option Analysis:
A) Incorrect, as it does not include the additional condition about opposite sides being equal in le...