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There are 36 unique quadrilaterals in a 3x3 square grid:

14 squares = 9 (1x1) 4 (2x2) 1 (3x3)

22 rectangles = 6 (1x2) 6 (2x1) 6 (3x3) 2 (2x3) 2 (3x2)

(the total number of quadrilaterals formed by 3 x 3 pin sets will be larger, i.e. 78)

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Related Questions

What shape does 3 congruent quadrilaterals make?

a big quadrilateral


How many boxes in a 3 x 3 grid?

There are 9 boxes in a 3x3 grid.


How many squares and rectangles are there in a 3 by 3 grid?

14


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How many triangles can you make on a 3X3 grid?

The correct answer is 76. There are 9 points in the grid. You can pick any 3 out of these 9 points in 9*8*7/(3*2*1) = 84 ways. However, 3 will form horizontal lines in the grid, 3 will form vertical lines in the grid, and 2 will form diagonal lines in the grid. None of these 8 triplets will form triangles, but all the rest will. So the answer is 84-8=76.


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