Vivek is making a perpendicular segment in the middle of segment JR.

First, he drew an arc centered at J.
Then, he used the same radius to draw an arc centered at R.
Next, he found the points where the arcs intersected.

What MUST be true?

Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.
CLEAR CHECK

P is the same distance from N as J is from R.


PN is equal to JR.


Any point on PN will be equidistant from J and R.


NR is half of JR.