Question

find 4th vertex of parallelogram whose consecutive vertices are (8,4),(5,7),(-1,1)​

Answer 1

Answer:

The fourth vertex of the parallelogram lies in the fourth quadrant. Its coordinates are ( 2,-2)

Step-by-step explanation:

The graph is given here.

Answer 2

Answer:

D=(2, -2)

Step-by-step explanation:

Midpoint of BD = Midpoint of AC

>(5+x/2 , 7+y/2 ) = (8-1/2,4+1/2)

>5+x/2,7+y/2 = (7/2,5/2)

>5+x/2=7/2 , 7+y/2=5/2

>5+x=7 , 7+y=5

>x=2 , y= -2

Hence, D=(2,-2)