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Proposed Problem 6 What is the figure formed by joining the four intersection points of the adjacent angular trisectors of the interior angles of a square? Conjecture The figure formed by joining the four intersection points of the adjacent angular trisectors of the interior angles of a square is another square. A Square is a quadrilateral with four equal sides and four right angles.
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| Drag free points A or B to alter the square ABCD and observe the length of sides and angles of the figure EFGH, which is formed by joining the four intersection points of the adjacent angular trisectors of the interior angles of the square ABCD to check the correctness of the made conjecture. |