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geometry hon - 235112063200001 topic 1: mathxl for school: topic review…

Question

geometry hon - 235112063200001 topic 1: mathxl for school: topic review part 1 of 2 bisect the segt less than $\frac{1}{2}$ab, of $\frac{1}{2}$ab, less than ab, greater than $\frac{1}{2}$ab, describe how with a setting less than ab. place the compass point at a. draw an arc on one side of $overline{ab}$. with the same points of intersection of the arcs be c and d. use a straightedge to draw $overleftrightarrow{cd}$. let the point of intersection of $overline{ab}$ and

Explanation:

Step1: Recall bisection process

To bisect a line - segment AB using a compass and straight - edge, we need to create two intersecting arcs.

Step2: Determine compass setting

The compass setting should be greater than $\frac{1}{2}AB$. If the compass setting is less than $\frac{1}{2}AB$, the arcs from points A and B will not intersect. If it is equal to $\frac{1}{2}AB$, the arcs will intersect only at one point (in a degenerate case). When the compass setting is greater than $\frac{1}{2}AB$, we can create two arcs, one from A and one from B, on both sides of the line - segment AB. These arcs will intersect at two points C and D. Then, using a straight - edge to draw the line CD, the point of intersection of CD and AB will be the mid - point of AB, bisecting the segment.

Answer:

greater than $\frac{1}{2}AB$