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Question

Show that the points A(1, 2), B(5, 4), C(3, 5) and D(-1, 5) are the vertices of a square.

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Solution

AB=(51)2+(42)2=42+22
BC=(35)2+(54)2=22+12
CD=(13)2+(55)2=42+02
DA=(1+1)2+(25)2=22+32
Since ABBCCDDA
It is not a square.

1199980_1445745_ans_5ea749236b2f4d14b5826aa92a6cd3c2.jpg

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