Question

the diagram below shows a nearly completed construction of the midpoint of ab. complete the construction.

Explanation:

Step1: Draw the segment \( CD \)

To find the midpoint of \( \overline{AB} \), we use the property that the intersection of the perpendicular bisector (in this case, the line connecting the intersection points of the two congruent circles centered at \( A \) and \( B \)) gives the midpoint. So, we draw the segment between the two intersection points \( C \) and \( D \) of the two circles.

Answer:

Draw the segment \( CD \). The point where \( CD \) intersects \( AB \) is the midpoint of \( \overline{AB} \).