Geometry

Question Analysis:
This problem involves finding the coordinates of a missing point in a parallelogram.
The main focus is using the property that diagonals of a parallelogram bisect each other, so they share the same midpoint.

Key Concept Explanation:
In a parallelogram, the diagonals intersect at the same midpoint.
So if you know three vertices, you can set the midpoints of the diagonals equal to solve for the unknown vertex.

Step-by-Step Solution:
– The diagonal from A to C has a midpoint.
– A is at (2, 3), and C is at (10, 11).
– The midpoint of AC is the average of their x-coordinates and y-coordinates:
x-coordinate: (2 + 10) / 2 = 6
y-coordinate: (3 + 11) / 2 = 7
So the midpoint is (6, 7)
– Now use points B and D to ...