Isaac will be constructing congruent segments with a compass and straightedge, while Micah will be constructing a segment bisector with a compass and straightedge. Describe the similarities and differences between their construction steps.

The similarities between constructing congruent segment and constructing a segment bisector with a compass and a straightedge are as follows

1) The location of the endpoint of the congruent segment and the points on the bisector are found with the aid of the compass alone

2) The construction outline of the congruent segment and the line bisecting the segment are completed with the aid of the straight edge

The differences are;

1) The constructed congruent segment does not have to be on the original segment

2) A pair of intersecting arcs are required to construct the bisector, while only one arc is required to construct the congruent segment

3) The compass needle is placed at both end points when constructing a segment bisector while the compass needle is placed only at the defined start point when constructing congruent segments

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