Answer
False
Work Step by Step
In order for two lines to be perpendicular, their slopes must be $\underline{opposite}$ reciprocals, not just reciprocals. For example, two lines with slopes $3$ and $\frac{1}{3}$, respectively, are not perpendicular, but two lines with slopes $3$ and $-\frac{1}{3}$, respectively are perpendicular.