Question

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

Answer 1

Answer:

94

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

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

2

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)