Question

perpendicular lines (2 attempts only!) this is the only question in this section. question slopes of perpendicular lines are ? answer attempt 1 out of 2 always 100 always 0 identical opposites opposite reciprocals submit answer

Explanation:

To determine the slopes of perpendicular lines, we recall the geometric property: If two non - vertical lines are perpendicular, and their slopes are \(m_1\) and \(m_2\), then \(m_1\times m_2=- 1\), which can be rewritten as \(m_2 =-\frac{1}{m_1}\) (assuming \(m_1
eq0\)). This means that the slopes of perpendicular lines are opposite reciprocals. Let's analyze the other options:

• "always 100": There is no geometric rule that the slopes of perpendicular lines are always 100. This is incorrect.
• "always 0": A line with a slope of 0 is horizontal. A line perpendicular to a horizontal line is vertical, and a vertical line has an undefined slope, not 0. So this is incorrect.
• "identical": If two lines have identical slopes, they are parallel (or coincident), not perpendicular. So this is incorrect.
• "opposites": Just being opposites (like \(m_1 = 2\) and \(m_2=-2\)) does not satisfy the perpendicular slope condition (\(2\times(- 2)=-4

eq - 1\)). So this is incorrect.

Answer:

opposite reciprocals