Will You Be My Friend by Sam McBratney
Illustrated by Anita Jeram
One day Big Nutbrown Hare is busy, but Little Nutbrown Hare wants to play so he goes off exploring on his own. He discovers another hare in a puddle - then realizes it's his reflection. He spots his shadow and wants to race it - only to find it's just as fast as him. Then up on Cloudy Mountain he finally finds someone to play with: a little snow white hare called Tipps. And she's real!