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Select the correct answer:

When bisecting [tex]$\overline{AB}$[/tex] using string, which step best describes what comes after securing the string at point [tex]$A$[/tex] and then setting the string length to be a little more than half of [tex]$AB$[/tex]?

A. Make an arc above and below [tex]$\overline{AB}$[/tex] from point [tex]$A$[/tex] and another arc on [tex]$\overline{AB}$[/tex] from point [tex]$B$[/tex].

B. Make an arc on [tex]$\overline{AB}$[/tex] from point [tex]$A$[/tex] and another arc from point [tex]$B$[/tex].

C. Make an arc above and below [tex]$\overline{AB}$[/tex] from point [tex]$A$[/tex] and another arc from point [tex]$B$[/tex].

D. Make an arc above [tex]$\overline{AB}$[/tex] from point [tex]$A$[/tex] and another arc on [tex]$\overline{AB}$[/tex] from point [tex]$B$[/tex].


Sagot :

Let's work through the steps involved in bisecting a line segment [tex]\(\overline{ AB }\)[/tex] using a string.

1. Secure the string at point [tex]\(A\)[/tex].
2. Set the string length to be a little more than half the length of [tex]\( \overline{ AB } \)[/tex].

Now, what comes next?

3. Make an arc above and below the line segment [tex]\( \overline{ AB } \)[/tex] from point [tex]\(A\)[/tex]. This means you will create an arc that stretches outwards both above and below the line segment at point [tex]\(A\)[/tex].
4. Make another arc from point [tex]\(B\)[/tex]. This second arc, which also stretches above and below the line segment, should intersect with the first arcs.

Based on the above steps, the arcs need to intersect to correctly bisect the line segment. Therefore, we need to select the step that describes making arcs above and below the line segment from both points [tex]\(A\)[/tex] and [tex]\(B\)[/tex].

This description is accurately captured by option C: "Make an arc above and below [tex]\(\overline{ AB }\)[/tex] from point [tex]\(A\)[/tex] and another arc from point [tex]\(B\)[/tex]."

Thus, the correct answer is:
[tex]\[ \boxed{3} \][/tex]
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