Posted by Jessica K on Monday, August 25, 2008 at 3:57pm.
Directions in my book say, "find the coordinates of the other ENDPOINT of a segment with the given endpoint and midpoint M."
example: R(2,6)
M(1,1)
I really need help.

geometryendpoints  drwls, Monday, August 25, 2008 at 4:17pm
I am assuming that (2,6) are the x and y coordinates of point R.
If the coordinates of the midpoint are (1,1), the other endpoint has a decrease in x of 3, and a decrease of y by 5. (The same as from R to M)
That makes the coordinates of the other endpoint (4, 4)

geometryendpoints  DrBob222, Monday, August 25, 2008 at 4:21pm
One way it to subtract the x values 2(1) = 3. Since that is 1/2 the line segment, then 1 3 = 4 for the x value of the end of the other segment. The value of the y segment is done similarly (61 = 5 and 15 = 4 so the coordinates of the other end point is (4,4). You can check these values by plugging the values into y = mx + b to see if all satisfy the equation.

geometryendpoints  Jessica K, Monday, August 25, 2008 at 4:22pm
Oh. But I don't quite understand the process.
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