Sold principal residence with tenants in common. There was a loss. I selected Part 1 quest two as a second home .The loss cannot be used to reduce taxable income?

sold principal residence with tenants in common. I completed the cap gains work sheet. I selected second home as the type of investment.There was loss but it did not reduce the taxable income. Does this type of loss not reduce taxable income or should I have selected a different type of investment?  Thank you for your help.  [removed]