Question

the diagram below shows a partly completed construction of the midpoint of $overline{ab}$. complete the construction.

Explanation:

Step1: Set the compass width

Set the compass width to the length of segment $\overline{AB}$.

Step2: Draw arcs

With center $A$, draw an arc above and below the segment $\overline{AB}$. Then, without changing the compass width, with center $B$, draw arcs above and below the segment $\overline{AB}$ to intersect the previous arcs.

Step3: Draw the line

Use a straight - edge to draw a line connecting the two intersection points of the arcs. The point where this line intersects $\overline{AB}$ is the mid - point of $\overline{AB}$.

Answer:

Follow the above three - step construction process to find the mid - point of $\overline{AB}$.