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in Coordinate Geometry by (38.9k points)
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The figure formed with vertices (0,0), (1, 0), (1,1) and (0, 1) is called a 

 A) rectangle 

B) square 

C) circle

D) none

2 Answers

+1 vote
by (57.0k points)
selected by
 
Best answer

Correct option is (B) square

Vertices are A(0, 0), B(1, 0), C(1, 1) and D(0, 1).

\(\because\) AB = \(\sqrt{(1-0)^2+(0-0)^2}\) = 1 unit,

BC = \(\sqrt{(1-1)^2+(1-0)^2}\) = 1 unit,

CD = \(\sqrt{(0-1)^2+(1-1)^2}\) = 1 unit,

DA = \(\sqrt{(0-0)^2+(0-1)^2}\) = 1 unit.

Also AC = \(\sqrt{(1-0)^2+(1-0)^2}\) = \(\sqrt2\) unit

BD = \(\sqrt{(0-1)^2+(1-0)^2}\) = \(\sqrt2\) unit

\(\because\) AB = BC = CD = DA and AC = BD

\(\therefore\) ABCD is a square.

+1 vote
by (36.7k points)

Correct option is  B) square

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