(1)设C(x,y),∵A(-1,-2)、B(2,3)、D(-2,-1),∴ AB =(3,5), DC =(x+2,y+1),∵四边形ABCD是平行四边形,∴ AB = DC ,∴ x+2=3 y+1=5 ,解得x=1,y=4.即C(1,4).∴ AC =(2,6),AC的长度| AC | = 4+36 =2