If the points $A(0,0)$, $B(5,0)$ and $C(5,3)$ are three vertices of a rectangle with sides parallel to the…

If the points $A(0,0)$, $B(5,0)$ and $C(5,3)$ are three vertices of a rectangle with sides parallel to the axes, the fourth vertex is:
  1. $(3,5)$
  2. $(0,3)$
  3. $(3,0)$
  4. $(0,5)$

Solution

Opposite vertex of $C(5,3)$ along the rectangle is $(0,3)$ (same $y$ as $C$, same $x$ as $A$).

Asked in: IMO

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