what is the difference between parallel and perpendicular?
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Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
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Figure 20. Perpendicular lines do not have the same slope. The slopes of perpendicular lines are different from one another in a specific way. The slope of one line is the negative reciprocal of the slope of the other line. The product of a number and its reciprocal is 1.
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As adjectives the difference between horizontal and longitudinal. is that horizontal is perpendicular to the vertical; parallel to the plane of the horizon; level, flat while longitudinal is relating to length, or to longitude.
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The line x=-3 is a line parallel to the y-axis. So a line perpendicular to it will have a slope parallel to the x-axis or its slope is 0.
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Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line.
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If the sides have equal lengths, then it is called a square. We can check that we have a rectangle by checking the slopes of the sides: they are parallel or perpendicular. Parallelogram are quadrilaterals with opposite sides parallel, but adjacent sides not perpendicular.
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We can check that we have a rectangle by checking the slopes of the sides: they are parallel or perpendicular. Parallelogram are quadrilaterals with opposite sides parallel, but adjacent sides not perpendicular. If the sides have equal lengths, then it is called a rhombus.
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This means, by definition, those two lines are also perpendicular to one another! Let's look at the square. The square is made of four lines. Because each line is perpendicular to two other lines, a square has four right angles.
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Correct answer: Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line.
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Theorem 103: If two nonvertical lines are parallel, then they have the same slope. ... If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Also, the absolute values of their slopes are reciprocals.
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Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be 0. The slope of the parallel line is undefined and the slope of the perpendicular line is 0.
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As adjectives the difference between parallel and longitudinal. is that parallel is equally distant from one another at all points while longitudinal is relating to length, or to longitude.
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In elementary geometry, orthogonal is the same as perpendicular. Two lines or curves are orthogonal if they are perpendicular at their point of intersection. Two vectors and of the real plane or the real space are orthogonal iff their dot product .
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The slope of a line perpendicular to the x-axis is undefined. Perpendicular lines have opposite reciprocal slopes. For example, 12 and −21=−2 are opposite reciprocals and lines with these slopes will be perpendicular to one another.
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If you multiply the slopes of two perpendicular lines in the plane, you get −1 . That is, the slopes of perpendicular lines are opposite reciprocals . (Exception: Horizontal and vertical lines are perpendicular, though you can't multiply their slopes, since the slope of a vertical line is undefined.)
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Correct answer: A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.
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Distance Between Parallel Lines. The shortest distance between two parallel lines is the length of the perpendicular segment between them. It doesn't matter which perpendicular line you choose, as long as the two points are on the lines.