The midpoint is going to have an x and y value halfway between those of the two endpoints. The midpoint has an x value 6 higher than the first endpoint and a y value 4 lower. Just continue this pattern to get the other endpoint.
(-2+6, 6-4)=(4, 2)
The midpoint formula: [(x1 + x2)/2, (y1 + y2)/2]
By substituting the given values into the formula we have:
(x1 + -8)/2 = -2 and (y1 + 10)/2 = 6
x1 - 8 = -4 and y1 + 10 = 12
x1 -8 + 8 = -4 + 8 and y1 + 10 - 10 = 12 - 10
x1 = 4 and y1 = 2
Thus, the other endpoint is (4, 2).
GH has endpoints at G(4, 0) and H(8, 2). Find the midpoint M of GH.
The other end point is (8,-10).
If endpoint J is at (4, 15) and midpoint L is at (1, 8) then endpoint K is at (-2, 1) Because (4-2)/2 = x and (15+1)/2 = y for midpoint (1, 8)
If the coordinate of A is x, and that of the midpoint of AB, M, is m then the distance AM is m-x so the distance AB = 2*(m-x) So the coordinate of B is x + 2*(m-x) = 2m-x For coordinates in more than one dimension, apply the above rule separately for each dimension.
The other endpoint is -5,-8.
The line segment is a radius.
The other end point is (8,-10).
(9,4)
If you mean endpoint (6, 9) and midpoint (7, 6) then the other endpoint is (8, 3)
4
If you are only given one endpoint and a midpoint, you know what the middle of the line segment is. Since the midpoint is half of what the line segment's length is, all you have to do is find the distance between the endpoint given and the midpoint, then add that coordinate to your midpoint and get your other endpoint. For example: Endpoint A: (4,5) Midpoint: (6,8) Distance between: (2,3) Add (2,3) to (6,8) and get Endpoint B: (8,11).
You practically just use the midpoint formula. M(x,y)= (x1 + x2, y1 + y2)---------- --------(the 2 is part of a fraction for the midpoint formula) ---> 2 2For ex.The midpoint of JK is (3,4). One endpoint is K(-3,-2).(-3 + y2 , -2 + y2).-------- ---------2 2You Multiply the midpoint coordinates to the denominators. So the midpoint coordinate 3 is multiplied to the first denominator and 4 is multiplied to the second denominator.The equations turn out to be:6=-3 + x2 AND 8= -2 + y2x2=9 y2=10so the Other endpoint's coordinates are (9,10)
If endpoint J is at (4, 15) and midpoint L is at (1, 8) then endpoint K is at (-2, 1) Because (4-2)/2 = x and (15+1)/2 = y for midpoint (1, 8)
a median is a line or segment with one endpoint as the midpoint, and the other end at the vertex. so start at a vertex and draw a straight line to the midpoint of the opposite side.
If the coordinate of A is x, and that of the midpoint of AB, M, is m then the distance AM is m-x so the distance AB = 2*(m-x) So the coordinate of B is x + 2*(m-x) = 2m-x For coordinates in more than one dimension, apply the above rule separately for each dimension.
The other endpoint is -5,-8.
Such a line segment would be a radius of the circle.
Add the same amount again by finding the difference of the midpoint and end point. Example: If the end point is 3 and the mid point is 9. The difference between 3 and 9 is 6 so add 6 to 9 and get 15.