Perpendicular through point not on line

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Transcript

In this video, we're going to draw a perpendicular lines, again using traditional and digital techniques. Let's begin by drawing in a line. And then I'll decorate that as a red line. And I'd like to place a point at some arbitrary location on screen like that. And then I'll label that as point A. Now my goal is to draw a perpendicular line through point A, it's perpendicular to the red line.

To do so, I'm going to draw a line segment from a and I'm not going to try to eyeball it or estimate its location here, that would not work. Instead, I'm going to draw this line at some arbitrary angle like that. And then I'll label this as point B. Now I'd like to bisect line a B. I'll do that by drawing in a circle from A to B. Another circle from B to A. Then I'll draw a line connecting these two points on the vesicle viscous form, which I'll label as C and D. That also puts in the bisection point at point E. Draw a circle from point A to A.

Let's label this point where the circle intersects with the red line right here as F. Then draw in a new line segment from A to F. And it turns out that AF is perpendicular to b f. Let's verify that first. I'm going to decorate it make it red. Then I'm going to check it out and use this perpendicular tool and click on a F and then b F, which is labeling internally as line s one because it was the first line that I drew it because it's highlighted in blue. And the declaration is complete, we can rest assured that they are indeed perpendicular. So that is the method that you use with the traditional compass and straight edge. I'm just going to pan over here and put in an arbitrary point up here somewhere, which I'll label as point G. Now I'd like to draw a perpendicular to the red line using the digital tools in this app.

There's a perpendicular tool right here. And the way that this works is a bit counterintuitive, because you don't start at GE. You start on the perpendicular start on the line that you want to draw a perpendicular from, and you drag the pencil or your finger along the red line. And as I move the pointer, you can see that I can draw that perpendicularly to the line anywhere I want. So the secret is just to drop it on point G. And there you have it. I'll just decorate that.

I'll label this point. And also verify that these two lines are indeed perpendicular, and they are. So there you have it two different methods for creating perpendiculars

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