Finding the distances between the 4 consecutive points, using the formula, all will be equal, hence the points will form a square.
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, four consecutive points will be given in the cartesian plan, and their distances should be calculated. If they are equal, these points will form a square.
More can be learned about the distance between two points at https://brainly.com/question/18345417
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