Which Tile Completes the Shape Matrix?

Explanation

Official Explanation The key to this puzzle is recognizing that the square and triangle do not contribute equally. Instead, the intended rule is to treat: * Each square as 2 points * Each triangle as 1 point Once this simple value system is applied, every completed line follows exactly the same total. Let’s verify it. Rows Row 1 * Left cell = 9 * Middle cell = 16 * Right cell = 5 9 + 16 + 5 = 30 ⸻ Row 2 * Left cell = 6 * Middle cell = 10 * Right cell = 14 6 + 10 + 14 = 30 ⸻ Row 3 * Left cell = 15 * Middle cell = 4 * Correct answer (B) = 11 15 + 4 + 11 = 30 ⸻ Columns Column 1 9 + 6 + 15 = 30 Column 2 16 + 10 + 4 = 30 Column 3 5 + 14 + 11 = 30 ⸻ Diagonals Main diagonal: 9 + 10 + 11 = 30 Other diagonal: 5 + 10 + 15 = 30 ⸻ Why B? Only B produces the same total of 30 in every row, every column, and both diagonals. Several alternative ideas, such as counting only the number of shapes or only the number of corners, can produce local patterns, but they fail to satisfy the entire grid simultaneously. The intended rule is the only one that remains consistent across all eight possible lines (3 rows, 3 columns, and 2 diagonals). For this reason, B is the official and uniquely intended solution.