Question

Can someone do this real quick plz

Answer 1

Answer:

(3.5, 2)

Step-by-step explanation:

From the attachment, we have:

$H = (1,1)$

$J= (2,3)$

$K=(6,3)$

$L = (5,1)$

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:

$M = \frac{1}{2}(x_1 + x_2,y_1+y_2)$

For HK:

$M = \frac{1}{2}(1+6,1+3)$

$M = \frac{1}{2}(7,4)$

$M = (3.5,2)$

For JL:

$M = \frac{1}{2}(2+5,3+1)$

$M = \frac{1}{2}(7,4)$

$M = (3.5,2)$

For both diagonals, the coordinate of the midpoint is (3.5, 2).

Hence, the point of intersection is: (3.5, 2)