Three vertices of a rectangle (sides parallel to the axes) are $A(1,1)$, $B(7,1)$ and $C(7,4)$. The fourth…

Three vertices of a rectangle (sides parallel to the axes) are $A(1,1)$, $B(7,1)$ and $C(7,4)$. The fourth vertex $D$ is:
  1. $(1,4)$
  2. $(4,1)$
  3. $(1,7)$
  4. $(4,7)$

Solution

$D$ must share its $x$-coordinate with $A$ and its $y$-coordinate with $C$, giving $D=(1,4)$.

Asked in: IMO

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