SOLUTION: If you were to place a rhombus in the coordinate plane so that its diagonals lie along the axes, what would be the coordinates of the vertices using as few variables as possible?
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Question 570021: If you were to place a rhombus in the coordinate plane so that its diagonals lie along the axes, what would be the coordinates of the vertices using as few variables as possible? Answer by solver91311(24713) (Show Source):
Rhombus diagonals bisect each other, so if the diagonals lie on the axes, then the opposite vertices (the endpoints of the diagonals) are equidistant from the origin. Further, the vertices must lie on the axes as well, so you only need two variables for the 4 vertices.
John
My calculator said it, I believe it, that settles it