Question

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8. The three vertices of parallelogram are (3, 4), (3, 8) and
(9, 8).Find the fourth vertex.

Answer 1

Answer:

(9,4)

Step-by-step explanation:

The answer is above

Answer 2

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)