Question

select the correct answer. which best describes a step in the process of using folding paper to bisect \\( \overline { a b } \\) ? a. fold the paper such that point a and point b are on parallel lines. b. fold the paper such that point a and point b coincide with one another. c. fold the paper such that point a and point b are at right angles. d. fold the paper such that point a and point b are next to one another.

Explanation:

When bisecting a line segment \(\overline{AB}\) using paper - folding, the key idea is to create a crease that is the perpendicular bisector of \(\overline{AB}\). Folding the paper so that point \(A\) and point \(B\) coincide with one another ensures that the crease formed is equidistant from \(A\) and \(B\), which is the property of a bisector.

• Option A: Folding \(A\) and \(B\) on parallel lines does not guarantee that the line segment is bisected. Parallel lines do not necessarily relate to the mid - point of \(\overline{AB}\).
• Option C: Folding \(A\) and \(B\) at right angles does not address the bisection of the line segment \(\overline{AB}\). Right angles are about the angle between two lines, not about dividing a line segment into two equal parts.
• Option D: Folding \(A\) and \(B\) next to one another does not ensure that the line segment is bisected. Just being adjacent does not imply that the crease is at the mid - point of \(\overline{AB}\).

Answer:

B. Fold the paper such that point \(A\) and point \(B\) coincide with one another.