Equidistant Points 2

Directions: Fill in the empty blanks with whole numbers 1 through 9, using each number at most once, so that you create two points equidistant from (4,-1).



Which methods are available to determine answers to this problem? What shape is defined by all of the points that are equidistant from (4, -1)?



There are many correct answers to this problem including: (2, 4) and (9, 1) as well as (2, 3), and (8, 1)

Source: Bryan Anderson

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  1. We worked this problem out and only found 4 possible answers. Do you think there are more than that?

    Our other answers were (1,4), (9,2) and (1,3), (8,2).


    • there are many more, if you think in terms of slope, any that create perpendicular lines will work; all the points to the left or right two and up one will be the same as going left or right one, then up two. etc

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