Question

Three vertices of a parallelogram taken in order are (1,2),(2,4)and(3,7). Find its fourth vertex.

Answer 1

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Answer 2

let A=(1,2), B=(2,4), C=(3,7), D=(x1,y1)
first find mid point O of two points A and C
(1,2), (3,7)
x=1+3/2=2
y=2+7/2=9/2

now we know mid point
O=(2,9/2)
In line BD
B=(2,4) D=(x1,y1)

2=(2+x1)/2
x1=2

9/2=(4+y2)/2
y2=5

D=(2,5)
plzz check the answer I am not sure