Question

1. square lmno is shown in the diagram below. what are the coordinates of the midpoint of diagonal ln? a. (4 1/2, -2 1/2) b. (-3 1/2, 3 1/2) c. (-2 1/2, 3 1/2) d. (-2 1/2, 4 1/2)

Explanation:

Step1: Identify coordinates of L and N

Let's assume L has coordinates $(x_1,y_1)$ and N has coordinates $(x_2,y_2)$. From the grid, if we assume L is at $(- 6,3)$ and N is at $(1,4)$.

Step2: Use mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.
$x=\frac{-6 + 1}{2}=\frac{-5}{2}=-2\frac{1}{2}$
$y=\frac{3+4}{2}=\frac{7}{2}=3\frac{1}{2}$

Answer:

C. $(-2\frac{1}{2},3\frac{1}{2})$