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SDHC cards, or Secure Digital High Capacity cards, use flash memory for storing data. Flash memory is a type of non-volatile memory that retains data even when the power is turned off. This characteristic allows SDHC cards to store large amounts of data and maintain that data integrity over time. It is also reprogrammable, meaning that the data can be erased and rewritten, which aligns with the concept of reprogrammable memory.

While volatile memory, like RAM, loses its data when power is removed, SDHC cards preserve their contents without a power supply. Semi-permanent memory might suggest some inability to modify data, while read-only memory is typically used for data that is not meant to be altered. Thus, describing SDHC card memory as reprogrammable accurately reflects its functionality and reliability as a data storage solution.