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ABCD is a rectangle formed by the points...

ABCD is a rectangle formed by the points `A(1,\ 1),``B(1,\ 4),`` C(5,\ 4)` and `D(5,\ 1)`. P, Q, R and S are the midpoints of AB, BC, CD and DA respectively. Is the quadrilateral PQRS a square? A rectangle? or a rhombus? Justify your answer.

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To determine whether the quadrilateral PQRS is a square, rectangle, or rhombus, we first need to find the coordinates of the midpoints P, Q, R, and S of the sides of rectangle ABCD. ### Step 1: Find the midpoints P, Q, R, and S 1. **Coordinates of Points:** - A(1, 1) - B(1, 4) - C(5, 4) ...
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