How to Construct Parallel Lines With a Ruler & Pencil

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Constructing parallel lines is something you can do using a simple rule and a pencil. Construct parallel lines with a rule and a pencil with help from an experienced educator in this free video clip.

Part of the Video Series: Lessons in Math
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Video Transcript

Hi, my name is Marija. I'm a mathematician, and today I'm going to tell you how to construct parallel lines using a ruler and a pencil. So the important thing to note is that parallel lines are lines that never intersect. They're never going to hate each other. So with a ruler you can go ahead and draw your first line however you want. So let's say I drew my line like this with a ruler in hand. Now to draw a line that's parallel to that without going ahead and using slope, you're going to have to make sure that the distance between each point on every line is the absolute same from the next. So you can estimate and go ahead and draw a line that looks parallel by using your ruler but then you would have to go ahead and measure the distance and make sure that it's exactly the same but to be completely precise you would have to find the slope of the lines and ensure that they're equal because parallel lines have the same slope. So what you would do is look at one line, pick two points on it, so let's say I pick point A and point B and I would have to find what is the rise over run from this point to this one. So if I rose two and I ran four, that means that my slope is 1/2 right? I rose two, ran four, my slope here is 1/2. I would have to make sure that the slope of this line is the exact same from any two points on the line. So I can go a little further up. It's still going to be the same. So I'd have to ahead and measure my rise over my run, that's the bad point and hopefully it's also 2 over 4. If it is, then their slopes are the same and I can say that my lines are indeed parallel. My name is Marija, and I just showed you how to construct parallel lines using a ruler and pencil.

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