To determine which type of rest lasts the same amount of time as the given note, we need to look at the duration of each note and its corresponding rest.
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Eighth Note - lasts for half a beat. The corresponding rest is an eighth rest which also lasts for half a beat.
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Quarter Note - lasts for one beat. The corresponding rest is a quarter rest which also lasts for one beat.
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Half Note - lasts for two beats. The corresponding rest is a half rest which also lasts for two beats.
Based on this information, here are the matches:
- An eighth rest corresponds with an eighth note.
- A quarter rest corresponds with a quarter note.
- A half rest corresponds with a half note.
If you specify which note you are referring to, I can provide the exact corresponding rest type.