Question

given the midpoint and one endpoint of a line segment, find the other endpoint

Answer 1

the distance between one endpoint and midpoint is same as distance to other ends point(from midpoint)

Answer 2

how do you do it

Answer 3

\[(\frac{x_1 +x_2}{2},\frac{y_1+y_2}{2})=(x,y)\]

Answer 4

^^^^Use this.

Answer 5

formula for mid point

Answer 6

how do you do it with the endpoint

Answer 7

reverse way?

Answer 8

just plug in the values u have and solve for the 1 u dont

Answer 9

x,y are midpoints
\(x_1,y_1\:\:\:\:\: and \:\:\:x_2,y_2\) are end-points.

Answer 10

oh ok

Answer 11

midpoint x value:
\[x_{midpoint}=(1/2)(x_{endpoint1}+x_{endpoint2})\]

Answer 12

thx guys

Answer 13

midpoint (c,d)
end points
(x1, y1)
(x2,y2)
\[\left(x_1-c\right),\left(y_1-d\right)\]
\[x_2=c+\left(\left(x_1-c\right)\right)\]
\[y_2=d+\left(\left(y_1-d\right)\right)\]

Answer 14

We three points: A, B, and C, where A and B are endpoints and C is a midpoint. Then:
\[B=(x_{B}, y_{B})=(2x_{C}-x_{A}, 2y_{C}-y_{A}).\]