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Prove:(2,-2),(8,4),(5,7)&(-1,1) are the angular points of a rectangle
Let these points are A,B,C,D respectively.HenceFrom distance formuladistance AB =52^(1/2)distance CD = 52 ^(1/2)distance BC = 18^(1/2)distance AD = 18^(1/2)Now AB = CD & BC = ADOne property of rectangle is that its disgonal are equal in length.Now length AC = 90^(1/2)length BD = 90^(1/2)Now AC = BD also.Hence this is a rectangle
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