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Amber fossils happen when insects become trapped in tree resin, the tree resin preserves the insect. They usually have a yellowish tint to them and contain the insect that was trapped.
Trace fossils are preserved records of life such as footprints or nests. For example when an animal leaves a footprint and the mud the footprint was in turns into rock, it is preserved.
Petrified fossils happen when the structure of animals buried underground are replaced with minerals.