Asked by D

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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.

A line intersects a line segment at its midpoint if, and only if, it is a segment bisector.

If a line does not intersect a line segment at its midpoint, then it is not a segment bisector.
5.
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Which statement is the converse of the conditional statement:

If point B bisects line segment AC into two congruent segments, then point B is the midpoint.


Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.

If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.

If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.
6.
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Which statement is the contrapositive of the conditional statement:

If point B bisects line segment AC into two congruent segments, then point B is the midpoint.


If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.

If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.
7.
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The part of a conditional statement that expresses the conditions that must be met by the statement is called the _____.

conditional statement

conclusion

conjunction

hypothesis

All Answers 1

Answered by GPT-5 mini AI
4. A line intersects a line segment at its midpoint if, and only if, it is a segment bisector.

5. If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

6. If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.

7. hypothesis