In other words, if two straight lines in the same plane are the same distance apart and they never meet each other, they are called parallel lines. No, the definition itself suggests that these lines never meet. Hence, parallel lines would not meet even at infinity. No, parallel lines do not have the same equation, but they have the same slope.
So, another straight line in the same plane, that has the same slope of 4 will be parallel to the given line. No, a triangle does not have any parallel lines. Since a triangle always has 3 intersecting sides; and we know that parallel lines never intersect each other, therefore, a triangle cannot have parallel lines. A hexagon is a six-sided polygon. A regular hexagon has three pairs of parallel lines.
Learn Practice Download. Parallel lines Two or more lines that lie in the same plane and never intersect each other are known as parallel lines. What are Parallel Lines? Parallel Lines and Transversal 3. Parallel Lines Properties 4. Parallel Lines Examples Example 1: Using the properties of parallel lines, write true or false for the following statements. Parallel lines are always the same distance apart. Solution: a. True, parallel lines are always the same distance apart.
Solution: When any two parallel lines are cut by a transversal, many pairs of angles are formed. Have questions on basic mathematical concepts?
Figure 1 Intersecting lines. Two lines that intersect and form right angles are called perpendicular lines. Figure 2 Perpendicular lines. Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times. Figure 3 Parallel lines. When writing an equation of a line, keep in mind that you ALWAYS need two pieces of information when you go to write an equation:. We have a point, however what about the slope?
You are not going to get off that easily. As mentioned above, parallel lines have the same slope. So, if we know the slope of the line parallel to our line, we have it made. OK, now we have our slope, which is 4. As mentioned above, the slopes of perpendicular lines are negative reciprocals of each other.
So, if we know the slope of a line perpendicular to our line, we have it made. Practice Problems These are practice problems to help bring you to the next level.
It will allow you to check and see if you have an understanding of these types of problems. Math works just like anything else, if you want to get good at it, then you need to practice it. Even the best athletes and musicians had help along the way and lots of practice, practice, practice, to get good at their sport or instrument.
In fact there is no such thing as too much practice. At the link you will find the answer as well as any steps that went into finding that answer. Practice Problems 1a - 1c: Find the slope of the line that is a parallel and b perpendicular to the given line. Need Extra Help on these Topics? All rights reserved. After completing this tutorial, you should be able to: Find the slope of a line that is parallel to a given line.
This tutorial looks at the relationship between the slopes of parallel lines as well as perpendicular lines. In other words, perpendicular slopes are negative reciprocals of each other.
If you need more of a review on how to use this form, feel free to go to Tutorial Equations of Lines. If your linear equation is written in this form, m represents the slope and b represents the y -intercept.
Example 1 : Find the slope of any line that is a parallel and b perpendicular to the line. Before we tackle finding the parallel and perpendicular slopes it really can help us out if we find the slope of the given line.
Lining up the form with the equation we have been given, can you see what the slope is? Example 2 : Find the slope of the line that is a parallel and b perpendicular to the line.
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