Answers

2015-06-13T15:09:33+05:30
Given points are (1,7),(4,2),(-1,-1),(-4,4)
Let the points are A,B,C,D.
Distance formula = √(x₂-x₁)²+(y₂-y₁)²
                    AB = √(4-1)²+(2-7)²
                          = √9+25
                          = √34
                     BC = √(-1-4)²+(-1-2)²
                           = √25+9
                           =  √34
                      CD = √(-4-(-1))²+(4-(-1))²
                            = √9+25
                            =  √34
                       DA = √(1-(-4))²+(7-4)²
                             = √25+9
                             = √34
We know that the all sides of the square are equal.
Here by the distance formula, we got the for sides equal .
So,from this we can say that these points are the vertices of a square.
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