Question

the point (-1,0) , (0,-1) and( 1,0) and (0,1 )forms which quadrilateral

Answer 1

Answer:

Let A(−1,−2),B(1,0),C(−1,2) and D(3,0).

Distance between two points (x

1 ,y 1 ) and (x 2 ,y 2 ) can be calculated using the formula

(x 2 −x 1 ) 2 +(y 2 −y 1) 2

Distance between the points A(−1,−2) and B (1,0)=

(1+1)

2 +(0+2) 2 = 4+4= 8

Distance between the points B(1,0) and C (−1,2)=

(−1−1)

2

+(2−0)

2

= 4+4 = 8

Distance between the points C(−1,2) and D (−3,0)=

(−3+1) 2+(0−2) 2 = 4+4 = 8

Distance between the points A(−1,−2) and D (−3,0)= (−3+1) 2+(0+2) 2 = 4+4 = 8

Since, length of the sides between all vertices are equal, they are the vertices of a square.