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Which statement is a proper biconditional statement for the conditional statement:
If a line intersects a line segment at its midpoint, then it is a segment bisector.

If a line is a segment bisector, then it intersects the line segment at its midpoint.
If a line is not a segment bisector, then it does not intersect the line segment at its midpoint.
If a line does not intersect a line segment at its midpoint, then it is not a segment bisector.
A line intersects a line segment at its midpoint if, and only if, it is a segment bisector.

Respuesta :

Answer:

"If a line is a segment bisector, then it intersects the line segment at its midpoint."

Step-by-step explanation:

We have to find the proper biconditional statement for the conditional statement "If a line intersects a line segment at its midpoint, then it is a segment bisector." from the given four options.

I think the proper biconditional statement of the above conditional statement will be the first one i.e. "If a line is a segment bisector, then it intersects the line segment at its midpoint."  

Therefore, option A is correct. (Answer)