If the points $A(1,2)$, $B(5,2)$, $C(5,6)$ and $D(1,6)$ are joined in order, what figure is formed?

If the points $A(1,2)$, $B(5,2)$, $C(5,6)$ and $D(1,6)$ are joined in order, what figure is formed?
  1. A square of side $4$
  2. A rectangle that is not a square
  3. A rhombus that is not a square
  4. A trapezium

Solution

$AB=BC=CD=DA=4$ and all angles are right angles (sides parallel to the axes), so $ABCD$ is a square of side $4$.

Asked in: IMO

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