Question

Can someone do this real quick plz

Answer 1

(3.5, 2)

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 = (1)/(2)(x_1 + x_2,y_1+y_2)`

For HK:

`M = (1)/(2)(1+6,1+3)`

`M = (1)/(2)(7,4)`

`M = (3.5,2)`

For JL:

`M = (1)/(2)(2+5,3+1)`

`M = (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)