Question

ABCD is a parallelogram in which A =(1,4), B =(5,8) and C = (6,-3). Find the fourth vertex D.
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Answer 1

Answer:

Step-by-step explanation:

Let D(x,y) in the paralleogram midpoint of AC is midpoint of BD

{(1+6)/2 ,(4-3)/2} = {(5+X)/2 ,(8+Y)/2}

7/2 =(5+X)/2 __)5+X=7__)X=2

1/2 =(8+Y)/2 ___) 8+Y=1___)Y= -7

THE FOURTH VERTEX IS ( 2, -7)

Answer 2

Answer:

(2,-7)

Step-by-step explanation:

Given:

A=(1,4)

B=(5,8)

C=(6,-3)

We know that:

X= x1 + x2/2 and y=y1+y2/2

x = 1+6/2 , y = 4+(-3)/2

x = 7/2 ,y = 1/2

BD =(5+x/2 ,8+y/2)

5+ x/2 = 7/2 , 8+y/2=1/2

5+x=7 , 8+y=1

x= 7-5 , y=1-8

x=2 , y=-7

ANSWER is (2,-7)