A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a straight line to (1,1), while a black ant leaves the anthill and moves along a straight line to (-1,-1). Next, the red ant moves to (2,2), while the black ant moves to (-2,-2). Then the red ant moves to (3,3) while the black ant moves to (-3,-3), and so on. Explain why the red ant and the black ant are always the same distance from the anthill.
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Home » Mathematics » A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a straight line to (1,1), while a black ant leaves the anthill and moves along a straight line to (-1,-1).