How to append <li> to another <ol> on click event using jquery?

I have a dynamically generated list, Here is my HTML code

<ol class="pending">
  <li><a href="#" class="rendered">One</a></li>
  <li><a href="#" class="rendered">Two</a></li>
  <li><a href="#" class="rendered">Three</a></li>
  <li><a href="#" class="rendered">Four</a></li>
  <li><a href="#" class="rendered">Five</a></li>
  <li><a href="#" class="rendered">Six</a></li>
</ol>
<ol class="patched"></ol>

When any particular link is clicked, It should moved to different list.

/*jslint browser: true*/ /*global  $*/ 
$(document).ready(function(){
    "use strict";
    $('.rendered').on('click', function(){
        $(this).toggleClass("rendered patched");
        //$(this).parent().append($(this).wrap("<li></li>"));
        $(this).appendTo("ol.patched");
    });
});

So far the only difficulty is in having the anchor value in the <li> added to the new list as an <li>.

The result I keep getting is

<ol class="pending">
  <li></li>
  <li></li>
  <li></li>
  <li></li>
  <li></li>
  <li></li>
</ol> 
<ol class="moved">
  <a href="#" class="dld">One</a>
  <a href="#" class="dld">Two</a>
  <a href="#" class="dld">Three</a>
  <a href="#" class="dld">Four</a>
  <a href="#" class="dld">Five</a>
  <a href="#" class="dld">Six</a>
</ol>

I'm not sure what I am misunderstanding about .append() and .appendTo()

Solution

You should select parent of anchor and append it to ol. JQuery .parent() select parent of element.

$('.rendered').on('click', function(){
    $(this).toggleClass("rendered patched");
    $(this).parent().appendTo("ol.patched");
});

$('.rendered').on('click', function(){
  $(this).toggleClass("rendered patched");
  $(this).parent().appendTo("ol.patched");
});

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<ol class="pending">
  <li><a href="#" class="rendered">One</a></li>
  <li><a href="#" class="rendered">Two</a></li>
  <li><a href="#" class="rendered">Three</a></li>
  <li><a href="#" class="rendered">Four</a></li>
  <li><a href="#" class="rendered">Five</a></li>
  <li><a href="#" class="rendered">Six</a></li>
</ol>
<ol class="patched"></ol>

Also you can write your code in one line

$('.rendered').on('click', function(){
  $(this).toggleClass("rendered patched").parent().appendTo("ol.patched");
});