A paroled burglar was convicted Tuesday of murdering a woman and her two daughters during a night of terror inside the family’s home in a well-to-do Connecticut town. Steven Hayes, 47, was convicted of capital felony, murder, sexual assault and other counts by a jury that heard eight days of gruesome testimony. The verdict triggers the trial’s second phase, beginning Oct. 18, in which the same jurors will decide if Hayes should be executed or face life in prison. Prosecutors said Hayes and another ex-con, Joshua Komisarjevsky, broke into the family’s house in Cheshire in 2007, beat the girls’ father with a baseball bat and forced their mother, Jennifer Hawke-Petit, to withdraw money from a bank before sexually assaulting and strangling her.