<style>
      .gizlee{
        display: none;
      }
    </style>

    <button id="butondeneme">Buton</div>
    <img src="https://media1.giphy.com/media/Y0bTs4783RaAPUWCSX/giphy.gif?cid=ecf05e471omcy4mnk4cqa5jbkpww9zvaoz5dpv6ljbcdis48&rid=giphy.gif&ct=g" class="gizlee" id="gifornek">

    <script src="http://ajax.googleapis.com/ajax/libs/jquery/1.9.1/jquery.min.js"></script>
    <script>
      $.fn.center = function () {
        this.css("position","absolute");
        this.css("top", Math.max(0, (($(window).height() - $(this).outerHeight()) / 2) + $(window).scrollTop()) + "px");
        this.css("left", Math.max(0, (($(window).width() - $(this).outerWidth()) / 2) + $(window).scrollLeft()) + "px");
        return this;
      }

      $("#butondeneme").on("click", function(){
        $("#gifornek").fadeIn().center();
        setTimeout(function(){
          $("#gifornek").fadeOut()
        }, 1000);
      });
    </script>