Question

Three consecutive vertices of a parallelogram are points (2, 4), (0, 0), and (6, 0). The fourth vertex is point

1.)(2, -1)
2.)(10, 2)
3.)(8, 4)

Answer 1

the answer is 3) 8,4

Answer 2

Option 3 - (8,4)

Explanation:

Given : Three consecutive vertices of a parallelogram are points (2, 4), (0, 0), and (6, 0).

To find : The fourth vertex is point ?

Solution :

We have given that points are forming a parallelogram.

Let the fourth coordinate is (x,y)

Now, we draw a rough image of the given situation.

Refer the attached figure below.

Draw a parallelogram ABCD with mid point O.

Applying the mid point between two points (2,4) and (6,0).

`O=(2+6)/(2), (4+0)/(2)\\\\ O=4,2`

Now, Applying mid point between points (0,0) and (x,y)

`(4,2)=(x+0)/(2), (y+0)/(2)`

`(x+0)/(2)=4, (y+0)/(2)=2`

`x=8 ,y=4`

Therefore, The fourth vertex point is (8,4).

Hence, Option 3 is correct.