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).
[tex]O=\frac{2+6}{2}, \frac{4+0}{2}\\\\ O=4,2[/tex]
Now, Applying mid point between points (0,0) and (x,y)
[tex](4,2)=\frac{x+0}{2}, \frac{y+0}{2}[/tex]
[tex]\frac{x+0}{2}=4, \frac{y+0}{2}=2[/tex]
[tex]x=8 ,y=4[/tex]
Therefore, The fourth vertex point is (8,4).
Hence, Option 3 is correct.
