7. If a square is positioned correctly for a coordinate prof, then which of the following is true? A. One vertex is on the origin, and one side coincides with the x-axis. B. The center of the square is on the origin, and the mid points of each side are on the x and y axes. C. One vertex is on (1,0), and one side of the square of the square coincides with the x-axis. D. One vertex is on the origin, two sides coincide with the x and y axes.
When proving a theorem by coordinate geometry, it is helpful (my opinion) to get as much of the figure to coincide with the axes, and/or to have points on the axes. That is because the x-coordinates of the points on the y-axis are zero. The y-coordinates of the points on the x-axis are zero. And, zero makes calculations a little simpler.
So, which option do you think should be the best? |dw:1387002622029:dw|
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