Question

question 1 of 10 if the slopes of two lines are negative reciprocals, the lines are perpendicular. a. true b. false

Explanation:

In coordinate geometry, the rule for perpendicular lines in a plane (excluding vertical/horizontal edge cases) is that if two lines have slopes \(m_1\) and \(m_2\), they are perpendicular if \(m_1\times m_2=- 1\), which means \(m_2 =-\frac{1}{m_1}\) (so slopes are negative reciprocals). This is a fundamental geometric (and algebraic, under the umbrella of coordinate geometry) principle.

Answer:

A. True