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8. The three vertices of parallelogram are (3, 4), (3, 8) and
(9, 8).Find the fourth vertex.
Answers
Answered by
1
Answer:
(9,4)
Step-by-step explanation:
The answer is above
Answered by
1
Let ABCD be a parallelogram.
then A(3,4),B(3,8) and C(9,8). Let the coordinates of D be (x,y)
Since the diagonals of a parallelogram bisect each other
Coordinates of the mid-point of AC = Coordinates of the mid-point of BD
3+9
,
2
4+8
=
2
3+x
,
2
8+y
2
12
,
2
12
=
2
3+x
,
2
8+y
6=
2
3+x
,6=
2
8+y
12=3+x,12=8+y
9=x,4=y
Coordinates of the fourth vertex are (9,4)
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