To correctly answer the question regarding Layer I in relation to Fault H, we need to apply geological principles.
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Principle of Original Horizontality states that layers of sediment are originally deposited horizontally. This principle alone does not specify the relationship between Layer I and Fault H.
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Principle of Cross-Cutting Relationships states that a geological feature (like a fault) that cuts through another feature (like a layer of rock) is younger than the feature it cuts. If Fault H cuts through Layer I, then Layer I must be older than Fault H.
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Principle of Superposition applies to sedimentary layers and indicates that in a sequence of undisturbed sedimentary rocks, the oldest layers are at the bottom and the youngest are at the top. This principle doesn’t apply directly to the relationship with Fault H unless more context is given about the layers above or below.
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Relative Dating refers to methods of determining the age of a rock or layer compared to others, but it's not a specific principle that defines the relationship between Layer I and Fault H.
Given the phrasing of the options, the correct response based on the provided information would be:
older than Fault H because of the principle of cross-cutting relationships.