In the rectangular coordinate system, are the points (r,s) and (u,v) equidistant from the origin?
(1) r + s = 1
(2) u = 1 - r and v = 1 - s
Please explain your solution. Thanks!
OG 11 - Coordinate Geometry
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I think you can solve it like this.
We know that r+s=1, so we can conclude that r=1-s and s=1-r.
Then we have u=1-r and v=1-s. We can substitute like this u=1-(1-s), which means u=s. The same way, v=r. Thus, we can conclude that two points equidistant from (0,0)
We know that r+s=1, so we can conclude that r=1-s and s=1-r.
Then we have u=1-r and v=1-s. We can substitute like this u=1-(1-s), which means u=s. The same way, v=r. Thus, we can conclude that two points equidistant from (0,0)