Which of the following best describes perpendicular lines
Graphing parallel and perpendicular lines
The aim of this task is to evaluate many different meanings of what it means for two lines to be perpendicular. These meanings are all right, but they express different details and rely on different foundations. The simplest and most common description is (a), which is closely related to (b) (b). While they are very similar, Definition (a) is founded on a weaker theory than Definition (b), since the assumption that one of the four angles created by perpendicular lines is correct can be deduced by using supplementary and/or vertical angles. The weaker hypothesis of Description (a) is favored because definitions should be as simple as possible.
MP6 embodies the job of seeking the clearest, most cost-effective meanings. Mathematical concepts must be straightforward and, preferably, should communicate all relevant details without adding needless hypotheses. This assignment is perfect for class discussion because different students will possibly respond differently to the meanings and will be able to gain a greater understanding of what it means for lines to be perpendicular through discussion.
Parallel lines and perpendicular lines – nerdstudy
Since the two angles it produces (indicated in orange and blue) are both 90 degrees, the segment AB is perpendicular to the segment CD. Using “perpendicular” as a verb, the segment AB can be called the perpendicular from A to CD. The foot of the perpendicular from A to section CD, or simply the foot of A on CD, is the point B. 1st
The property of being perpendicular (perpendicularity) in elementary geometry is the relationship between two lines that meet at a right angle (90 degrees). The property applies to other geometric objects that are connected.
If two lines meet at a right angle, the two lines are said to be perpendicular.
[two] A first line is perpendicular to a second line if (1) the two lines meet; and (2) the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of intersection. Perpendicularity is symmetric, which means that if one line is perpendicular to another, the second line is also perpendicular to the first. As a consequence, we may refer to two lines as perpendicular (to each other) without mentioning their order.
Perpendicular lines from equation | mathematics i | high
Then, by comparing the equations to the slope-intercept form, where is the slope and is the -intercept, we can determine the slopes of the two sides. By looking at the shapes, we can see that they have slopes of and. Since these aren’t the same, the “parallel” and “same line” options aren’t available. We take one of the slopes, adjust its symbol, and turn it upside-down to see if it’s a negative reciprocal. Starting with and changing the symbol, and then flipping the sign, gives. Since the slope of the second line is the same as the slope of the first, the two slopes are negative reciprocals, and the lines are perpendicular.
As a consequence, this line’s slope is.
A line’s perpendicular is opposite and reciprocal. As a result, the slope of the perpendicular line would be. Only this (which you can find out when you solve for) matches the options given.
Explanation: The slopes of perpendicular lines would be negative reciprocals of one another. The first step would be to convert the equation to slope-intercept form and determine the slope of the given axis.
What are perpendicular lines?
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