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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 2

For 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 + y2

x2=9 y2=10

so the Other endpoint's coordinates are (9,10)

Q: How do you find an endpoint if you are given the other endpoint and the midpoint?

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Given only the midpoint you cannot.

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.

Related questions

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).

Given only the midpoint you cannot.

i have found the answer dont worry.

double the length

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".

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.

There are only three endpoint given and these are not sufficient to define a segment of a line.

midpoint is given by the formula (x1 +x2) /2 and (y1 +y2) /2 where (x1 ,y1 )and (x2 ,y2) are the end points of the line segment .so if one end point and mid point is given the other end point can be calculated .

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).