Question
5.
Test the following statement to see if it is reversible. If so, choose the true biconditional.
A midpoint of a segment is a point that divides a segment into two congruent segments.
If a point does not divide a segment into two congruent segments, it is not a midpoint.
A point is a midpoint of a segment if and only if it divides the segment into two congruent segments.
A point that divides a segment into two congruent segments is a midpoint.
This statement is not reversible.
Test the following statement to see if it is reversible. If so, choose the true biconditional.
A midpoint of a segment is a point that divides a segment into two congruent segments.
If a point does not divide a segment into two congruent segments, it is not a midpoint.
A point is a midpoint of a segment if and only if it divides the segment into two congruent segments.
A point that divides a segment into two congruent segments is a midpoint.
This statement is not reversible.
Answers
GPT 3.5
Therefore, there is no true biconditional statement for the given statement about midpoints of a segment.
fish
10.
Test the following statement to see if it is reversible. If so, choose the true biconditional.
If x = 3, then x2 = 9.
x2 = 9 if and only if x = 3.
x = 3 if and only if x2 = 9.
This statement is not reversible.
If x2 = 9, then x = 3.
Test the following statement to see if it is reversible. If so, choose the true biconditional.
If x = 3, then x2 = 9.
x2 = 9 if and only if x = 3.
x = 3 if and only if x2 = 9.
This statement is not reversible.
If x2 = 9, then x = 3.
GPT 3.5
Therefore, the true biconditional statement for the given statement is: x = 3 if and only if x^2 = 9.