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)

Step-by-step explanation:

The midpoint of a line is given as a:

`((x_1+x_2)/(2),(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} (-4+y_2)/(2)=0 \\ \\ -4+y_2=0 \\ y_2=4 \end{gathered}`

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