Subjects geometry

Heptagonal Prism Nets

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1. The problem asks to identify which nets correspond to a heptagonal prism. 2. A heptagonal prism is a 3D solid with two parallel heptagon bases and rectangular faces connecting corresponding sides of the heptagons. 3. The net of a heptagonal prism consists of: - Two congruent heptagons (the bases). - Seven rectangles (the lateral faces) arranged in a row connecting the two heptagons. 4. To verify if a net is correct: - Check that there are exactly two heptagons. - Check that there are seven rectangles arranged so that each rectangle corresponds to one side of the heptagon. - The rectangles should be connected in a strip between the two heptagons. 5. Analyze each option: - Option A: Has two heptagons and seven rectangles arranged in a row between them. This matches the net of a heptagonal prism. - Option B: Has two heptagons but the rectangles are not arranged in a single row connecting the heptagons properly. This is not a valid net. - Option C: Has two heptagons and seven rectangles arranged in a row between them. This matches the net of a heptagonal prism. - Option D: Has two heptagons but the rectangles are arranged incorrectly or missing some connections. Not a valid net. 6. Therefore, the correct nets of a heptagonal prism are options A and C. Final answer: Options A and C are nets of a heptagonal prism.