Question

rs has a midpoint at m(4, 4). point s is at (0, 0). find the coordinates of point r. write the coordinates as decimals or integers. r = ( , )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let the coordinates of point $R$ be $(x,y)$ and point $S(0,0)$ and mid - point $M(4,4)$.

Step2: Solve for $x$

We know that $\frac{x+0}{2}=4$. Multiply both sides by 2: $x + 0=8$, so $x = 8$.

Step3: Solve for $y$

We know that $\frac{y + 0}{2}=4$. Multiply both sides by 2: $y+0 = 8$, so $y = 8$.

Answer:

$(8,8)$