Search results
- If two non-vertical lines that are in the same plane has the same slope, then they are said to be parallel. Two parallel lines won't ever intersect. If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular.
Perpendicular Lines. Two lines are perpendicular when they are at right angles to each other. The red line is perpendicular to the blue line: Here also: Learn more at perpendicular lines. Perpendicular to a Plane. A line is perpendicular to a plane when it extends directly away from it, like a pencil standing up on a table.
- Line in Geometry
Ray. When it has just one end it is called a "Ray". This is...
- Finding Parallel and Perpendicular Lines
How to use Algebra to find parallel and perpendicular lines....
- Line in Geometry
- Perpendicular Lines
- Quick Check of Perpendicular
- Vertical Lines
- Summary
Two lines are perpendicular when they meet at a right angle (90°). To find a perpendicular slope: In other words the negative reciprocal
When we multiply a slope m by its perpendicular slope −1m we get simply −1. So to quickly check if two lines are perpendicular: Like this:
The previous methods work nicely except for a vertical line: In this case the gradient is undefined (as we cannot divide by 0): m = yA − yBxA − xB = 4 − 12 − 2 = 30= undefined So just rely on the fact that: 1. a vertical line is parallel to another vertical line. 2. a vertical line is perpendicular to a horizontal line (and vice versa).
parallel lines: sameslopeperpendicular lines: negative reciprocalslope (−1/m)- Slope
- −0.5
Lines that are parallel have the same steepness (or the same angle). Parallel lines have the same slope! Perpendicular lines have negative reciprocal slopes! To find the negative reciprocal of a number, flip the number over (take the reciprocal, invert) and negate that value.
Two nonvertical lines in the same plane, with slopes \(m_{1}\) and \(m_{2}\), are perpendicular if the product of their slopes is \(−1: m1⋅m2=−1\). We can solve for \(m_{1}\) and obtain \(m_{1}=\frac{−1}{m_{2}}\).
Nov 28, 2020 · Comparing Equations of Parallel and Perpendicular Lines. In this section you will learn how parallel lines and perpendicular lines are related to each other on the coordinate plane. Let’s start by looking at a graph of two parallel lines. Figure 4.6.1.1
the two lines are perpendicular if \(m_1 = - \frac{1}{m_2}\), that is, if the slopes are negative reciprocals of each other: In the above image, the slope-intercept form of the two lines are \[ \begin{align} y &= \frac{1}{2} x + 3\\ y &= -2x -2, \end{align} \]
Jun 14, 2022 · Perpendicular lines cross each other at exactly one point, making a 90° angle (right angle) with each other. Like parallel lines, perpendicular lines exist in the same plane as each other (coplanar). The product of the slopes of two perpendicular lines is -1. Properties of Perpendicular Lines. In the same plane. Intersect at one point.
