Question

three vertices of a parallelogram taken in order are (0,3,(0,6) and (2,9).find the fourth vertex

Answer 1

Answer:

use formula x4=x1+x3-x2

y4=y1+y3-y2

Step-by-step explanation:

(x4,y4)=(0+2-0,3+9-6)

(2,6)

Answer 2

Step-by-step explanation:

 A(0,3)   B( 0,6)  C( 2,9)   Let D ( x,y)

now we know that diagonal of a paralleogram bisect each other

now using mid point formula between two points

(x+0/2 , y+6/2 )  = 0+2/2 , 9+3/2

x+0/2 =0+2/2      and     y+6/2  = 9+/2

x =2          and    y  =  6

hence fourth vertex is ( 2, 6)