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A regular dodecahedron is sliced by a plane passing through two opposite edges and not through any vertices. What is the shape of the cross-section?

  1. A
    Pentagon
  2. B
    Rhombus
  3. C
    Rectangle
  4. D
    Parallelogram

Solution & Step-by-step Explanation

A regular dodecahedron has pairs of opposite edges that are parallel to each other. When a slicing plane passes exactly through two opposite parallel edges without hitting any vertices, the cross-section forms a perfect rectangle due to the symmetry of the solid structure.

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A regular dodecahedron is sliced by a plane passing through two opposite edges and not through any vertices. What is the shape of the cross-section?
A
Pentagon
B
Rhombus
C
Rectangle
D
Parallelogram

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