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A B C D is a rectangle formed by join...

`A B C D` is a rectangle formed by joining the points `A(-1,\ -1),\ \ B(-1,\ 4),\ \ C(5,\ 4)` and `D(5,\ -1)dot` `P ,\ Q ,\ R` and `S` are the mid-points of sides `A B ,\ B C ,\ C D` and `D A` respectively. Is the quadrilateral `P Q R S` a square? a rectangle? or a rhombus? Justify your answer.

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