Question

the vertices of parallelogram are A(-2,-1) (1,0),(x,y),(1,2) find x and y​

Answer 1

Answer:

x=4 , y=2

Step-by-step explanation:

Let the vertices of the parallelogram be

A(-2,-1) B(1,0) C(x,y) D(1,2)

since the diagonal of a parallelogram bisect each other the coordinates of the mid point of

AC=coordinates of the mid point of BD

(-2+x/2 , -1+3/2)=(1+1/2 , 0+y/2)

(-2+x/2 , 1)=(1,y/2)

x=4. ,y=2