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Answer :
Final answer:
The quadrilateral described by the given properties - two pairs of parallel and congruent sides, diagonals that bisect the angles and each other - is identified as a square, which also categorically makes it a parallelogram, rectangle, and rhombus.
Explanation:
The question pertains to identifying the type of quadrilateral described by the given properties: JK ∥ LM, JK ≅ LM, diagonal JL bisects ∠J and ∠L, and diagonal KM bisects ∠K and ∠M. These properties indicate that the quadrilateral is both a parallelogram (due to having two pairs of parallel and congruent sides) and has all angles as right angles, making it a rectangle. Additionally, the diagonals bisect the angles and each other in equal proportions, specifying it as a rhombus. The quadrilateral adheres to the definition of a square, which is a parallelogram with equal sides and angles.
Therefore, the correct answers are: Parallelogram, Rectangle, Rhombus, and Square. Trapezoid does not fit with the given properties.
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