Question

The Coordinates three, two and one, six are the opposite vertices of a parallelogram. If zero, zero is the corner of the third vertex, then the coordinates of the forth vertex would be

Answer 1

Answer: The fourth vertex of a parallelogram would be:-

Explanation: let the parallelogram ABCD as shown in fig:-

The two opposite vertices of a parallelogram are (3,2) and (1,6) and the third vertex given as (0,0)

let the unknown vertex B is (x,y)

as per the property of a parallelogram, the Diagonals of a parallelogram bisects each other.

so,

the point E is the mid-point of side AC as well as the side BD, let the mid-point E is having vertex (a,b),

mid-point (a,b) of side AC

a=3+1/2=2

b=2+6/2=4

mid-point (a,b) of side BD

a=x+0/2=2

x=4

b=y+0/2=4

y=8

:-)the fourth vertex of a parallelogram is (4,8)