You can use a compass and set its angle such that it the radius of the circle that it will draw is less than that of WX's length but longer than its half. Use it to make 4 arcs.
Making 4 arcs (2 arcs up and down from W and 2 arcs up and down from X which intersect previous two arcs) with circle of radius smaller than the length of WX will give two points on perpendicular bisector.
How to find the perpendicular bisector of a line segment with the help of a compass and a straightedge?
The construction steps are as follows:
Let the line segment to be bisected(divided in two equal parts) by a perpendicular line(that perpendicular bisecting line is called perpendicular bisector of the given line segment) be WX
- Take a compass and set its radius length smaller than length of WX and longer than half of WX
- Put tip of compass on W and make an arc upside of WX
- Now make an arc downside of WX
- Repeat above two steps but now with the tip being on X such that new two arcs intersect previous two arcs.
- Use straightedge and join both the points of intersection of arcs.
- The obtained line is the perpendicular bisector of the line segment WX
Using the above method, we get the perpendicular bisector of WX shown in the below attached figure.
Thus,
Making 4 arcs (2 arcs up and down from W and 2 arcs up and down from X which intersect previous two arcs) with circle of radius smaller than the length of WX will give two points on perpendicular bisector.
Learn more about constructing perpendicular bisector here:
https://brainly.com/question/14344702
