Construct the mediator of line YZ
As an AI language model, I do not have access to any visual aid or diagram to provide an accurate answer. However, I can explain the concept of the mediator of a line.
The mediator of a line is a line that intersects the original line at a 90-degree angle and divides it into two equal segments. In other words, the mediator of line YZ would be a line that intersects YZ at a 90-degree angle and divides it into two equal parts.
The formula for finding the mediator of a line involves finding the midpoint of the original line and then determining the slope of the line that is perpendicular to the original line. However, without knowing the coordinates of points Y and Z, I cannot provide a specific equation for the mediator of line YZ.
To construct the mediator of line YZ, you can follow these steps:
Step 1: Draw line segment YZ.
Step 2: Take a compass and place the pivot point on point Y.
Step 3: Adjust the compass to a reasonable length and draw an arc below and above line YZ. Make sure these arcs intersect line YZ at two different points.
Step 4: Without changing the compass size, place the pivot point on point Z.
Step 5: Draw two more arcs above and below line YZ, intersecting line YZ at two more points.
Step 6: Connect the intersection points on either side of line YZ, forming two line segments.
Step 7: Finally, draw a straight line that passes through the midpoint of line YZ and is perpendicular to line YZ. This line is the mediator of line YZ.
Now, you have successfully constructed the mediator of line YZ.