Question

cd has endpoints at c(9, 12) and d(9, 10). find the midpoint m of cd. write the coordinates as decimals or integers. m = ( )

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 9,y_1=12,x_2 = 9,y_2 = 10$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{9 + 9}{2}=\frac{18}{2}=9$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{12+10}{2}=\frac{22}{2}=11$.

Answer:

$(9,11)$