Answer:
(3.5, 2)
Step-by-step explanation:
From the attachment, we have:
[tex]H = (1,1)[/tex]
[tex]J= (2,3)[/tex]
[tex]K=(6,3)[/tex]
[tex]L = (5,1)[/tex]
Required
Determine the point of intersection
To do this, we simply calculate the midpoints of the diagonals; which are:
HK and JL
Midpoint is calculated as:
[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]
For HK:
[tex]M = \frac{1}{2}(1+6,1+3)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For JL:
[tex]M = \frac{1}{2}(2+5,3+1)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For both diagonals, the coordinate of the midpoint is (3.5, 2).
Hence, the point of intersection is: (3.5, 2)
