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Intersecting Lines
Intersecting lines are lines that meet at a certain point. When two lines cross, it defines the angles in the street area.
- Intersecting lines (two or more) meet in one place at a time.
- Intersecting lines can be cut at any angle. This built angle is always greater than 0° and less than 180°.
- Two intersecting lines form a pair of straight angles. Direct angles are opposing angles with a common vertex ( junction).
Parallel Lines
Matching lines are lines that never break. The distance between the two lines is fixed and the two lines go in the same direction.
The slope of the two parallel lines should be the same; if the two rows of two lines are the same they must be parallel.
Example 1:
If the line y = mx + 2 and the line y = 3x + 3 coincide, what is the value of m? Answer: Since the volume of two parallel lines should be the same, m = 3.
Example 2:
Line 1 on the slope forms y = 4x + 5 and line 2 says y-9 = 4 (x-7). Are the two lines compatible? Answer: Yes. The first row is in the slope of the point y = mx + b, descending m = 4. The second row is in shape (y-y1) = m (x-x1), slope m = 4, the same slope means parallel.
Perpendicular lines
Perpendicular lines are lines that intersect at one point and form an angle of 90 °.
The slopes of the two perpendicular lines are negative reciprocals to each other. This means that if the line is perpendicular to the vertical line m, then the inclination of the line is -1 / m. For example, we found that the slope of the line y = (1/2) x + 3 is 1/2. This is why any straight line in this line will have a slope -2/1 = -2
Skew Lines
The above relationship between the lines occurs in the same plane. However, skew lines only occur in space. Skew lines never break because they are not on the same plane. Skew lines are difficult to draw because they are located in a three-dimensional space.
Important points on Skew Lines
- Nonstop, non-coplan, and non-coplanar lines are skewed lines.
- Skew lines can only exist in three or more sizes. Therefore, we cannot have skewed lines in the 2D space.
- The formula for calculating the short distance between skew lines can be given in both vector form and cartesian form.
What are Coincident Lines?
Straight lines are lines above each other. They are not parallel lines or perpendicular lines but are completely identical. In other words, these are lines where one line completely closes another line in such a way that we can point to two lines. Both lines appear to be one line. Look at the given number of parallel lines. In the figure, L1 and L2 are vertical lines. L1 is higher than L2.
Angle Between Two Lines
The angle between the two lines helps to determine the relationship between the two lines. It is a measure of inclination between two lines. In two intersecting lines, there are two angles between the lines, a sharp angle and an obtuse angle. Here we look at the sharp angle between the lines, the angle between the two lines.
An angle between two lines helps to determine the angle of inclination between the two sides of a closed polygon. Let us examine the formulas and examples of angles between two lines on a connecting plane, and three-dimensional space.
Conclusion
This article, predominantly described how pairs of lines can relate to each other in intersecting lines, parallel lines, perpendicular lines, and skew lines. The detailed description provided in this article will help the students to get a clearer view of the concepts.
