Geometry

Question Analysis:
This is another "find the fourth point" question in a coordinate-based parallelogram.
The main focus is on using diagonal midpoint matching to find the unknown vertex.

Key Concept Explanation:
In a parallelogram, both diagonals have the same midpoint.
This can be used to find a missing point.

Step-by-Step Solution:
– Diagonal JL goes from J(0, 0) to L(8, 0)
– Midpoint of JL is at (4, 0)
– Diagonal KM must also have this midpoint
– Point K is at (4, 4), and we need to find point M
– Midpoint of KM must be (4, 0)
– (4 + x)/2= 4 → x = 4