Chapter 2, Problem 23RP

To determine

To Prove: The congruency of $\overline{RN}$ with respect to $\overline{NO}$

Explanation of Solution

Given information: O is the mid-point of $\overline{NP}$ and $\overline{RN}\cong \overline{PO}$

Proof: Here, $PO=NO$ (O is mid-point)

And, $PO=PN$ ( $\because$ O is the mid-point of PN as given)

So that, $\overline{RN}\cong \overline{NO}$