It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.
<h3>What is perpendicular bisector?</h3>
A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.
Now, consider an example;
When you wish to build a perpendicular line on a line segment, like line AB, you do the following;
- Set the compass on a radius more than half the length of the line AB.
- Using A as your center, draw an arc above and below line AB.
- With the same radius and B as our center, draw additional arcs on top or below line AB to join a first arcs on the both side of the line.
- Join the two arc intersections to cut line AB at M.
A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.
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