The answer depends on what information you have been given.
Given only the midpoint you cannot.
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)
-- 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".
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 How_do_you_find_an_endpoint_of_a_line_if_you_are_given_an_endpoint_and_the_midpointinto 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)
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)
to be honest I dont know
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.
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)
-- 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".
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 How_do_you_find_an_endpoint_of_a_line_if_you_are_given_an_endpoint_and_the_midpointinto 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)
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)
To work out the length, you need the coordinates of both endpoints. If you have one endpoint and the midpoint, you can treat this as two endpoints and then double the answer you get to calculating the length. To calculate the length, work out the difference in x axis values and difference in y axis values. You then find the square root of (x2+y2). This is the length between the two coordinates.
i have found the answer dont worry.
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.
double the length
how do you find distance between points