The Coordinates three, two and one, six are the opposite vertices of a parallelogram. If zero, zero is the corner of the third v

Question

3 years ago

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ertex, then the coordinates of the forth vertex would be

1 answer:

olganol [36] · Answer 1 · 2022-03-26T16:02:24+03:00

<h2>Answer: The fourth vertex of a parallelogram would be:-</h2>

Step-by-step 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)