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Proposed Problem 2 What is the figure formed by joining the four intersection points of the angular bisectors of the interior angles of an isosceles trapezium? Conjecture The figure formed by joining the four intersection points of the angular bisectors of the interior angles of an isosceles trapezium is a kite with two right angles. A kite is a quadrilateral with two distinct pairs of equal adjacent sides. |
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| Drag free points A, B, or C to alter the isosceles trapezium ABCD and observe the length of sides and the angles between unequal sides of the figure FGHK, which is formed by joining the four intersection points of the angular bisectors of the interior angles of an isosceles trapezium to check the correctness of the made conjecture. |