In a class room, 4 friends are seated at the points A, B, C and D as shown in Figure. Jarina and Phani walk into the class and after observing for a few minutes Jarina asks Phani “Don’t you notice that ABCD is a square?” Phani disagrees.
Using distance formula, find which of them is correct. Why?
let A = (3,4) B = (6,7) and C = (9,4) D = (6,1)
⇒ AB = 
= 
AB = 
⇒ BC = 
= 
BC = 
⇒ CD = 
= 
CD = 
⇒ AD = 
= 
AD = 
As all the sides are equal the ABCD is a square. Jarina is correct.
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