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.
Heptagonal Prism Nets
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