Construct the mediator of line YZ steps
1. Draw a line segment YZ.
2. Bisect the line segment YZ by drawing a perpendicular line from the midpoint M of YZ.
3. Label the point where the perpendicular line intersects YZ as point P.
4. Draw a straight line through point P that is perpendicular to YZ.
5. Label the intersection points of this line with YZ as points A and B.
6. The line segment AB is the mediator of line YZ.
To construct the mediator of line YZ, you can follow these steps:
1. Draw line YZ on a sheet of paper.
2. Take a compass and open it to any convenient radius.
3. Place the compass tip on point Y and draw an arc that intersects line YZ.
4. Without changing the compass radius, place the compass tip on point Z and draw another arc that intersects line YZ. The two arcs should intersect each other.
5. Draw a straight line through the points where the two arcs intersect. This line is the mediator of line YZ.
6. Mark the midpoint of line YZ. You can do this by measuring the distance between Y and Z and dividing it in half. Label this point as M.
7. Extend the mediator line so that it passes through point M.
8. The extended line passing through point M is the complete mediator of line YZ.
Now, you have successfully constructed the mediator of line YZ.