In a classroom, 4 friends are seated at the points A, B, C and D a | Filo
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Class 10

Math

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Coordinate Geometry

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In a classroom, friends are seated at the points , , and as shown in Fig. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, Dont you think is a square? Chameli disagrees. Using distance formula, find which of them is correct. why?

Solution: According to the fig. ),, and are the position of friends .

If we join all these points then

By using distance formula






if we join the point and than 

Diagonal

Diagonal

Hence all the sides of a quadrilateral are the same and the diagonals are also the same so is a square.

Hence Champa is correct. 
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