To find the midpoint of a segment using the coordinates of its endpoints: Answers: A- Calculate the average of the x-coordinates and the average of the y-coordinates of the endpoints. B- Calculate the differences of the x-coordinates and the differences of the y-coordinates of the endpoints. C-Calculate the differences of the x-coordinates and the differences of the y-coordinates of the endpoints and divide each by 2. D-Calculate the average of the x-coordinates and the average of the y-coordinates of the endpoints and divide each by 2.
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@iamforeveryoung D is incorrect. Read it carefully...
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Here is how you can reason this out: Imagine you have a point at (0,0) and (0,a). What is the midpoint? Well, it is halfway along the line between (0,0) and (0,a), at (0,a/2). Now imagine you have a point at (0,0) and (a,0). What is the midpoint? Again, it is halfway along the line between (0,0) and (a,0), at (a/2, 0). Now imagine that you had points at (0,0) and (a,a). What is the midpoint? It is just the average of the x values, the average of the y values. (a/2, a/2). If you draw a picture, you can see this is true. You're just finding the midpoint for each axis, then combining them. |dw:1361070601256:dw|
Hopefully it is clear that we are averaging the components, not just dividing one of them by 2 :-)