Question

Show that the points A(1,2) ,B(4,3), C(1,0) and D(-2,-1) are the vertices of a parallelogram. ​

Answer 1

Answer:

Follow me. or you can attend my online classes.

Answer 2

Answer:

Step-by-step explanation:

     A(1,2)=(x1,y1)           C(1,0)=(x2,y2)                                                                                                    

using midpoint formula,

(x,y)=(x1+x2 /2 , y1+y2/2)

      =1+1 /2 , 2+0 /2

      = (1,1)

again,

B(4,3)=(x1,y1)         D(-2,-1)=(x2,y2)

using midpoint formula,

(x,y)=(x1+x2/2 , y1+y2/2)

      = 4-2/2 , 3-1/2

      = (1,1)

since the midpoints are equal they are vertices of parallelogram.