Вопрос:

14. Analyze the geometric figure ABCD. The figure shows a quadrilateral ABCD with its diagonals AC and BD intersecting at point O. Side AB is marked with a single tick mark, and side BC is marked with a double tick mark. Side CD is marked with a single tick mark, and side DA is marked with a double tick mark. The diagonals AC and BD are divided into segments by the intersection point O. Segments AO and OC are marked with single tick marks, and segments BO and OD are marked with double tick marks.

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Ответ:

Analysis of Figure 14:

  • The figure shows a quadrilateral ABCD.
  • The diagonals AC and BD intersect at point O.
  • Side AB is marked with a single tick mark, and side CD is marked with a single tick mark, implying AB = CD.
  • Side BC is marked with a double tick mark, and side DA is marked with a double tick mark, implying BC = DA. Since opposite sides are equal in length (AB=CD and BC=DA), the quadrilateral ABCD is a parallelogram.
  • The diagonals are bisected at their intersection point: AO = OC (marked with single tick marks) and BO = OD (marked with double tick marks). This is a property of all parallelograms.
  • The markings on the sides indicate that ABCD is a parallelogram. The markings on the diagonals confirm this property.
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