Although parallel and perpendicular lines are the two basic and most commonly used lines in geometry , they are quite different from each other. The following table shows the difference between parallel and perpendicular lines. Here 'a' represents the slope of the line. Since two parallel lines never intersect each other and they have the same steepness, their slopes are always equal.
Therefore, they are parallel lines. Perpendicular lines do not have the same slope. The slope of one line is the negative reciprocal of the other line. Therefore, they are perpendicular lines. In other words, if the slope of two lines is the same, they are identified as parallel lines, whereas, if the slope of two given lines are negative reciprocals of each other, they are identified as perpendicular lines.
Example 1: Observe the blue highlighted lines in the following examples and identify them as parallel or perpendicular lines.
Solution: We need to know the properties of parallel and perpendicular lines to identify them. Ruler: The highlighted lines in the scale ruler do not intersect or meet each other directly, and are the same distance apart, therefore, they are parallel lines. Sandwich: The highlighted lines in the sandwich are neither parallel nor perpendicular lines.
They are not parallel because they are intersecting each other. Example 2: State true or false using the properties of parallel and perpendicular lines. False, the letter A does not have a set of perpendicular lines because the intersecting lines do not meet each other at right angles. Parallel lines are those lines that do not intersect at all and are always the same distance apart.
Perpendicular lines are those lines that always intersect each other at right angles. There are some letters in the English alphabet that have parallel and perpendicular lines in them. Observe the horizontal lines in E and Z and the vertical lines in H, M and N to notice the parallel lines. Two or more lines that meet at a point are called intersecting lines.
That point would be on each of these lines. In Figure 1 , lines l and m intersect at Q. Figure 1 Intersecting lines. Two lines that intersect and form right angles are called perpendicular lines.
Figure 2 Perpendicular lines. We make world-class learning tools and resources so children of all learning abilities and backgrounds can develop to their greatest potential. Using Class Ace Screencasts. Try the Class Ace Clever app for districts. Learn Math Math 1st Grade. Math 2nd Grade. Math 3rd Grade. Learn Spelling Spelling 1st Grade. Spelling 2nd Grade. Spelling 3rd Grade. Spelling 4th Grade. Learn Grammar Grammar 1st Grade.
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