Identify the true statement.Parallel lines have reciprocal slopes of opposite sign.Perpendicular lines have the same slope.Nonparallel lines have the same slope.Perpendicular lines have reciprocal slopes of opposite sign.

The true statement is: "Perpendicular lines have reciprocal slopes of opposite sign."

Here's why:

1. "Parallel lines have reciprocal slopes of opposite sign." - This is false. Parallel lines have the same slope, not reciprocal slopes of opposite sign.

2. "Perpendicular lines have the same slope." - This is false. Perpendicular lines have negative reciprocal slopes, not the same slope.

3. "Nonparallel lines have the same slope." - This is false. Nonparallel lines can have any slope, not necessarily the same.

4. "Perpendicular lines have reciprocal slopes of opposite sign." - This is true. If two lines are perpendicular, the slope of one line is the negative reciprocal of the slope of the other line. For example, if one line has a slope of 2, the line perpendicular to it would have a slope of -1/2.