Q. 10

True or False Perpendicular lines have slopes that are reciprocals of one another.

Verified

Answer

The statement "Perpendicular lines have slopes that are reciprocals of one another." is false.

1Step 1. Given information.

We have the given statement:

Perpendicular lines have slopes that are reciprocals of one another.

2Step 2. Find whether the statement is true or false.

Two non-vertical lines are perpendicular if and only if the product of their slopes is $- 1 .$

$m_{1} \times m_{2} = - 1$ , where $m_{1}$ and $m_{2}$ are the slopes of two lines.

Hence, slopes of perpendicular lines are negative reciprocals.

Therefore, the given statement is false.