Question

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

Answer 1

Answer:

Option 3 - (8,4)

Step-by-step 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).

$O=\frac{2+6}{2}, \frac{4+0}{2}\\\\ O=4,2$

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

$(4,2)=\frac{x+0}{2}, \frac{y+0}{2}$

$\frac{x+0}{2}=4, \frac{y+0}{2}=2$

$x=8 ,y=4$

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

Hence, Option 3 is correct.

Answer 2

The answer is 3) 8,4