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Describe a method of finding the midpoint of a segment that has one endpoint at (0,0) Derive the midpoint formula, give an example using your method, and explain why this method works.

Respuesta :

Using the midpoint concept, the midpoint of a segment with an endpoint of (0,0) is given by half the coordinates of the other endpoint.

What is the midpoint concept?

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Suppose we have two points:

(x1,y1) and (0,0).

The x-coordinate of the midpoint is:

x = (x1 + 0)/2 = 0.5x1.

The y-coordinate of the midpoint is:

x = (y1 + 0)/2 = 0.5y1.

Supposing we want to find the midpoint of (0,0) and (1,1), we have that:

  • x = (0 + 1)/2 = 0.5.
  • y = (0 + 1)/2 = 0.5.

Which shows that the method of finding half the coordinates of the other endpoint works.

More can be learned about the midpoint concept at https://brainly.com/question/28395147

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