SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given coordinates
[tex]\begin{gathered} L(1,1) \\ M(4,4) \\ N(7,1) \\ O(4,-2) \end{gathered}[/tex]STEP 2: Plot the given points on a graph
It can be seen from the image on the graph above, since all the sides are equal, it can be concluded that the quadrilateral LMNO is a Square