if we plot the point A(-1,0),B(-1,1), C(0,1) D(0,0) on cartesian plane which figure is formed on joining the points in order. Also identify the shape of the figure

Answer :

We can draw ​A( - 1 , 0 ) ,  B( - 1 , 1 ) ,  C ( 0 , 1 ) and   D ( 0 , 0 )  on cartisian plane , As :
 


And we know distance formula   = x2 - x12 + y2 - y12 
So,

AB  = -1 --12 + 1 - 02    = -1 + 12 + 1 2   =   1   unit 

BC  = ​0 --12 + 1 - 12     ​= 1 2 + 0 2   =   1   unit 

CD  = ​0 -0 2 + 0- 12     ​= 0 2 + 1 2   =   1   unit 

DA  = ​-1-02 + 0 - 02     ​= -1 2 + 0 2   =   1   unit 

Here  we can see that 

AB  =  BC   = CD  = DA  =  1 unit 

And we know that x and y axis form 90° to each other , So all internal angles will be 90°  .

Hence 
ABCD is a square , As we know in square  all four sides are equall and perpendicular to each other .              ( Ans )

  • -1

Square

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square

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