@Jim the Baptist, the Ice Age didn't wipe out the dinosaurs. They died out millions of years before the Ice Age. And the first birds evolved long before the dinosaurs died out.
The fossil record shows the evolution of birds from small, feathered theropod dinosaurs.
Why do creationists keep thinking that they can disprove something they are abysmally ignorant about?
Added:
There are a great many fossils of small dinosaurs with feather impressions showing a wide variety of forms.
http://blogs.myspace.com/index.cfm?fuseaction=blog.view&friendId=229081369&blogId=371847244
http://en.wikipedia.org/wiki/Feathered_dinosaurs
http://news.bbc.co.uk/2/hi/science/nature/1081677.stm
http://dinosaurs.about.com/od/thedinobirdconnection/a/dinobirds.htm
http://dinosaurs.about.com/lr/feathered_dinosaurs/1037466/2/
http://cosmiclog.msnbc.msn.com/archive/2010/04/28/2288537.aspx
Archaeopteryx lived around 150 million years ago. By the the time of the demise of the dinosaurs 65 million years ago, modern type birds had evolved, but no present day species of birds existed at that time.
Here is one of the many fossils of archaeopteryx. There are distinct impressions of flight feathers.
http://en.wikipedia.org/wiki/File:Archaeopteryx_lithographica_%28Berlin_specimen%29.jpg
The first link below is to a reconstruction of the archaeopteryx skeleton. The next link is to the skeleton of a modern bird. The archaeopteryx skeleton shows the beginning of the evolution to birds from a theropod dinosaur, which is also shown in the third link.
http://en.wikipedia.org/wiki/File:Archaeopterix_IRSNB.JPG
http://www.google.com/imgres?imgurl=http://www.photobirds.com/templates/default/images_pubs/bird_skeleton.jpg&imgrefurl=http://www.photobirds.com/pub_8_Avian_skeleton.html&h=520&w=350&sz=26&tbnid=5Qu_deVHKR2XJM:&tbnh=274&tbnw=184&prev=/images%3Fq%3Dbird%2Bskeleton&zoom=1&q=bird+skeleton&hl=en&usg=__uIO2Pn8BP4kXFPBsgjNyfC8ghek=&sa=X&ei=Aah_TNrJKYL6lwec47Ui&sqi=2&ved=0CB4Q9QEwAA
http://www.geologyrocks.co.uk/tutorials/origin_and_early_evolution_birds
Added:
Whoa! Thumbs down, by haters of reality, to my answer and others that provided evidence of the evolution of birds from small, feathered dinosaurs.