How to find the midpoint of a line segment -Geometry Help
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Questions answered in this video...
What is the midpoint of a line?
What are two methods to find the midpoint of a line?
How do you find the midpoint of a line using a graph?
What is the midpoint formula?
Transcript
Hi Welcome to Moo Moo Math. Today we are going to look at midpoint and how to find midpoint. We are going to look it two ways. The first way is via a graph, and the second is by the formula. Let's look at the graph. I have graphed the points (-2, 2) and the other point (2, -1) and are going to find the midpoint of the segment. Well, if I connect these two points together, I can estimate my midpoint which is about here. Midpoint just means half way. Now I am going to show you graphically how to do this. I am going to draw a right triangle. So I am going to take the Point A and dot it down until I until I get even with Point B. Then I am going to go across until I get over to point A. Now, I have created a right triangle. This side is 3 units, and this side is 4 units. I am going to take ½ of each side. Half of 3 is 1.5 and half of 4 is 2. So I take half of each side, and I go 1.5 here and 2 here and I see where these two meet. And that gives me my midpoint. I have created a rectangle inside the right triangle. This is the graphical way if you like graphs. Now, let's look at the formula way. I have the point (-2, 2) and (2, -1) and I am going to label these, x one, y one and x two, y two, this is my first ordered pair and this is my second ordered pair. Then I am going to plug them into the formula. I am going to take x one PLUS x two and divide by two. So I add my two x-coordinates together, and divide by 2. So, -2 plus 2 over 2 is zero over 2 or just zero. I do the same thing with my y-coordinates. 2 plus -1 all over 2. 2 plus -1 is positive 1, 1 over 2 is just ½. That means my ordered pair is (0, ½). That's my midpoint. Let's look at the rules of Midpoint! We have 2 methods, graphing, draw your right triangle, then find ½ of each side and connect those back to see where that point is. Or the formula, we took x one plus x two divided by 2, so we average the two x-coordinates. Y one plus y two divided by 2 to find the y-coordinate. Hope this was helpful.
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