Question

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

Explanation:

Step1: Set the compass width to the length of AB.

Place the compass on point B.

Step2: Draw an arc above and below the line segment AB.

With the same compass - width as in Step 1.

Step3: Without changing the compass width, place the compass on point A.

And draw arcs above and below the line segment AB to intersect the previously drawn arcs.

Step4: Use the straight - edge (segment tool) 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 steps to complete the construction of the mid - point of $\overline{AB}$.