Geometry

Question Analysis:
This problem involves using the midpoint formula to find the intersection point of diagonals.
The main focus is on the bisection property of diagonals in parallelograms.

Key Concept Explanation:
In parallelograms, diagonals bisect each other, so the midpoint of one diagonal is the same as that of the other.

Step-by-Step Solution:
E and G are endpoints of one diagonal (EG). The midpoint X is:
Midpoint = ((1 + 7)/2, (2 + 10)/2) = (8/2, 12/2) = (4, 6)
So, X = (4, 6)