i have found the answer dont worry.
The answer depends on what information you have been given.
-- Find the distance between the endpoint and the midpoint.-- Double that distance to get the length of the complete segment.-- When you're finished, sit quietly for a moment and ponder the meaning of "midpoint".
There are only three endpoint given and these are not sufficient to define a segment of a line.
Extend the line from the given midpoint, continuing in the same direction as you did coming from the start point, by an equal distance. In terms of coordinates, just double the change in each coordinate.
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).
double the length
i have found the answer dont worry.
If you mean endpoint (6, 9) and midpoint (7, 6) then the other endpoint is (8, 3)
The answer depends on what information you have been given.
to be honest I dont know
-- Find the distance between the endpoint and the midpoint.-- Double that distance to get the length of the complete segment.-- When you're finished, sit quietly for a moment and ponder the meaning of "midpoint".
There are only three endpoint given and these are not sufficient to define a segment of a line.
Extend the line from the given midpoint, continuing in the same direction as you did coming from the start point, by an equal distance. In terms of coordinates, just double the change in each coordinate.
The direction of missing endpoint is the same as the direction from the known end point to the midpoint. The distance from the midpoint to the missing endpoint is the same as the distance from the known end point to the midpoint. In coordinate geometry it is simple. If the known end point is (p, q) and the mid point is (r, s) then the missing point is (2r - p, 2s - q).
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)
Ok.The midpoint formula: [(x1 + x2)/2, (y1 + y2)/2]So for instance if your coordinates were endpoint : (-8,10) and the Midpoint: (-2,6)By substituting the given values into the formula we have:(x1 + -8)/2 = -2 and (y1 + 10)/2 = 6x1 - 8 = -4 and y1 + 10 = 12x1 -8 + 8 = -4 + 8 and y1 + 10 - 10 = 12 - 10x1 = 4 and y1 = 2so the endpoints coordinates are ( 4, 2)