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 the coordinates of L are \((x_1,y_1)\) and of N are \((x_2,y_2)\) by observing the grid. Suppose \(L(- 5,2)\) and \(N(0,5)\) (approximate from the grid).

Step2: Apply mid - point formula

The mid - point formula between 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, \(x_1=-5,y_1 = 2,x_2=0,y_2 = 5\). Then \(\frac{x_1+x_2}{2}=\frac{-5 + 0}{2}=-\frac{5}{2}=-2\frac{1}{2}\) and \(\frac{y_1 + y_2}{2}=\frac{2+5}{2}=\frac{7}{2}=3\frac{1}{2}\).

Answer:

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