There is a 2x3 plane made up of dots.

Question

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All these dots are an equal distance from their nearest neighbors. How many squares in the plane have two or more vertices on dots in this grid?

Answer 1

There are 6 squares in the plane that have two or more vertices on dots in the grid.

To visualize this, you can see that there are 2 squares of size 1x1, 2 squares of size 2x2, and 2 squares of size 3x3 that can be formed by connecting the dots in the grid. Each of these squares have two or more vertices on dots in the grid.