Parallel and Intersecting Lines Two lines are said to be parallel if they are in the same plane and do not intersect. This means that they do not have any p...
Parallel and Intersecting Lines
Two lines are said to be parallel if they are in the same plane and do not intersect. This means that they do not have any points in common.
For example, consider lines A and B in the picture below. Lines A and B are parallel, and they do not intersect.
[Image of lines A and B]
Parallel lines are lines that are not intersecting and are spread out infinitely in the same direction.
Intersecting lines are lines that do intersect and have at least one point in common.
For example, consider lines A and B in the picture below. Lines A and B intersect at point C.
[Image of lines A and B]
The distance between two points on a line is called the distance between the lines. The distance between points A and B is equal to the distance between points C and D.
The slope of a line is a measure of how quickly the line rises or falls relative to its run. The slope of a line that is parallel to another line is equal to the negative reciprocal of the slope of the other line.
The angle of intersection between two lines is the angle formed at the point where they intersect. The angle of intersection is equal to the angle between the two lines at that point.
In summary, parallel lines are lines that are not intersecting, while intersecting lines are lines that do intersect and have at least one point in common