Question

question 1 - 4
you are constructing a perpendicular bisector of segment $overline{ab}$. you have completed the following steps:

1. place the compass point on point a and draw an arc above and below the segment.
2. without changing the compass width, place the compass point on point b and draw another arc above and below the segment, creating two points of intersection.

3.
what is the missing step needed to complete the construction of the perpendicular bisector of $overline{ab}$?
draw a line through points a and b.
measure the length of $overline{ab}$ and find the midpoint.
draw a line connecting the points where the arcs intersect.
place the compass at the midpoint and draw a circle through point a.

Explanation:

To construct a perpendicular bisector of a line - segment, after drawing arcs from both endpoints, the next step is to connect the intersection - points of the arcs. This line will be the perpendicular bisector. Drawing a line through A and B is the original segment, measuring the length and finding the mid - point in this way is not part of the standard arc - based construction, and drawing a circle through point A from the mid - point is not relevant to constructing the perpendicular bisector.

Answer:

Draw a line connecting the points where the arcs intersect.