Question

1. what is the mid - point of $overline{oa}$? a(2m, 2n) c(2p, 2r) e(2t, 0) (m, 2n) (m - n, 0) (2m, n) (m, n)

Explanation:

Step1: Recall mid - point formula

The mid - point formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify the coordinates of O and A

The origin $O=(0,0)$ and $A=(2m,2n)$.

Step3: Apply the mid - point formula

For $x$ - coordinate: $\frac{0 + 2m}{2}=m$.
For $y$ - coordinate: $\frac{0+2n}{2}=n$.

Answer:

$(m,n)$