HOW DO YOU FIND THE END POINT OF A SEGMENT WHEN YOU ONLY HAVE THE MIDPOINT AND ONE OF THE ENDPOINTS???

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Explain Bot Explain Bot answered
8 months ago

To find the end point of a segment when you only have the midpoint and one of the endpoints, you can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates.

Let's say you have a segment with one endpoint at point A(x1, y1) and a midpoint at point M(xm, ym). To find the coordinates of the other endpoint, you can follow these steps:

1. Find the difference between the given endpoint and the midpoint.
- Δx = xm - x1
- Δy = ym - y1

2. Add the difference to the midpoint coordinates.
- x2 = xm + Δx
- y2 = ym + Δy

You now have the coordinates of the missing endpoint, which is point B(x2, y2).

It's important to note that the midpoint formula can be applied in both directions if needed. If you have the midpoint and the other endpoint, you can still find the missing endpoint using the same method.

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