Describe the process you would use to create the perpendicular bisector to a segment ab using only an unmarked straightedge and an unmarked compass

To draw a perpendicular bisector to a segment AB using only an unmarked straight edge and an unmarked compass, we follow these steps;

Step 1: Place the compass’s tip on the point A and draw a small arc above the line AB approximately in the middle.

Step 2: Now place the compass’s tip on the point B and draw another arc crossing the first arc.

Step 3: Without making any change to the compass, keeping the compass on point A, draw a small arc below the line AB approximately in the middle.

Step 4: Now place the compass’s tip on the point B and draw another arc (below the line AB) crossing the first arc.

Step 5: Join the lines where the arcs are crossing each other on both the sides.