Construct the mediator of a line YZ
To construct the mediator of line YZ, follow these steps:
1. Draw line YZ.
2. From point Y, draw a perpendicular line to YZ.
3. From point Z, draw a perpendicular line to YZ.
4. The point where the two perpendicular lines intersect is the midpoint of YZ, so draw a line through this point that is perpendicular to YZ. This line is the mediator of YZ.
The mediator of line YZ will pass through the midpoint of YZ and will be perpendicular to YZ.
To construct the mediator of a line YZ, follow these steps:
1. Draw a line segment YZ.
2. From point Y, draw an arc that intersects line segment YZ. Label the point of intersection as point A.
3. From point Z, draw an arc with the same radius as the previous arc so that it intersects line segment YZ. Label the point of intersection as point B.
4. With a straightedge, draw a line that connects points A and B. This line is the mediator of line YZ.
5. Label the midpoint of line segment AB as point M.
Now you have constructed the mediator of line YZ, which is the line that intersects line YZ at a 90-degree angle and passes through the midpoint of line YZ.