Create Squares

Directions: Create a square with one of the vertices at (2,3). Fill in the blanks with whole numbers 0 through 9, using each number at most once, to show the rest of the vertices of the square. Bonus: Find more than one set of vertices.



What do we know about the slopes of the lines that create the sides of the square?
What properties make a square?
Which Pythagorean triple could be used to produce side lengths that keep our square withing the given area?



There are multiple solutions, one example is:
(5, 7), (9, 4), and (6, 0)

Source: John Mahlstedt

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