Question

which is the best definition for the termmidpoint?
dividing into two equal or congruent parts
line segments having the same length
a line, line segment, or ray that intersects a line segment at its midpoint
a point that bisects a segment into two congruent segments

1. choose the best answer.

which is the best definition for the termsegment bisector?
a line, line segment, or ray that intersects a line segment at its midpoint
a method of creating a geometric figure that is mathematically precise by using a compass and straightedge
a number that corresponds to a point
a point that bisects a segment into two congruent segments

1. matching.

the points on any line or line segment can be put into a
correspondence with real numbers so that two selected points can have coordinates 0 and 1.

Explanation:

• For the term "midpoint":
• The first option "dividing into two equal or congruent parts" is too general as it could refer to a bisector (not specifically a point).
• The second option "line segments having the same length" is about congruent segments, not a mid - point.
• The third option "a line, line segment, or ray that intersects a line segment at its midpoint" is a segment bisector (not the mid - point itself).
• The fourth option "a point that bisects a segment into two congruent segments" is the correct definition of a mid - point.
• For the term "segment bisector":
• The first option "a line, line segment, or ray that intersects a line segment at its midpoint" is the correct definition of a segment bisector.
• The second option "a method of creating a geometric figure that is mathematically precise by using a compass and straightedge" is about geometric construction (not a segment bisector).
• The third option "a number that corresponds to a point" is about a coordinate (not a segment bisector).
• The fourth option "a point that bisects a segment into two congruent segments" is a mid - point (not a segment bisector).

Answer:

• For "midpoint": a point that bisects a segment into two congruent segments.
• For "segment bisector": a line, line segment, or ray that intersects a line segment at its midpoint.