Question

The mid point of CD is E(-1, 0). Endpoint is C(5, 2). What are the coordinates of the other endpoint

Answer 1

The coordinates of the midpoint of a line segment is the average of the coordinates of the endpoints. Calculations for the coordinates of the other endpoint are shown below.

                abscissa     -1 = (5 + x) / 2         ; x = -7

                ordinate       0 = (2 + x) / 2         ; y = -2

Thus, the coordinates of the endpoint is (-7, -2).

Answer 2

Answer:

(-7, -2)

Step-by-step explanation:

The coordinates of the midpoint of a segment having the end points $(x_1, y_1)$ and $(x_2, y_2)$ are,

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Here,

$x_1 = 5\text{ and }y_1=2$

Also,

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})=(-1,0)$

$(\frac{5+x_2}{2}, \frac{2+y_2}{2})=(-1,0)$

By equating the x- coordinates,

$\frac{5+x_2}{2}=-1$

$5+x_2=-2$

$x_2=-2-5=-7$

By equating the y- coordinates,

$\frac{2+y_2}{2}=0$

$2+y_2=0$

$y_2=-2$

Hence, the coordinates of the other endpoint i.e. D are,

(-7, -2)