Question

identify a biconditional statement, if possible, that could be written for the original conditional from the last problem: \if a point divides a segment into two equal halves, then it is a midpoint\ one cannot be written a point is a midpoint because it divides a segment into two equal halves if a point is a midpoint, it and only if, then it divides a segment into two equal halves. a point is a midpoint, if and only if, it divides a segment into two equal halves.

Explanation:

A biconditional statement combines a conditional statement and its converse. The original conditional is "If a point divides a segment into two equal halves, then it is a mid - point". Its converse is "If a point is a mid - point, then it divides a segment into two equal halves". A biconditional statement is of the form "p if and only if q". Here, p is "a point divides a segment into two equal halves" and q is "it is a mid - point".

Answer:

D. A point is a midpoint, if and only if, it divides a segment into two equal halves.