Question

The midpoint of CD is M=(-2,0) . One endpoint is C=(-8, -4) .Find the coordinates of the other endpoint D.

Answer 1

Answer:

The coordinate of the other endpoint is D = (4, 4)

Explanation:

The midpoint of a line is given as a:

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

Using these, we have:

$\begin{gathered} \frac{-8_{}+x_2}{2}=-2 \\ \\ -8+x_2=-4 \\ x_2=8-4=4 \end{gathered}$

Similarly, we have:

$\begin{gathered} \frac{-4+y_2}{2}=0 \\ \\ -4+y_2=0 \\ y_2=4 \end{gathered}$

The coordinate of the other endpoint is D = (4, 4)