Geometry

Question Analysis:
A standard coordinate geometry question using the midpoint property of diagonals to find a missing vertex.

Key Concept Explanation:
The diagonals of a parallelogram bisect each other.
So, midpoint of KM = midpoint of LN

Step-by-Step Solution:
KM: K = (−3, 2), M = (7, 12)
Midpoint = ((−3 + 7)/2, (2 + 12)/2) = (2, 7)
L = (5, 6), N = (x, y)
→ (5 + x)/2 = 2 → x = −1
→ (6 + y)/2 = 7 → y = 8
So N = (−1, 8)

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