Find the word on the face opposite to Eat.
Understand the Problem
The question is asking to determine which word is located on the face of the die that is opposite to the word 'Eat'. The positions of the die are provided in the image, which allows us to deduce the opposite face.
Answer
The word on the face opposite to 'Eat' is $Run$.
Answer for screen readers
The word on the face opposite to 'Eat' is $Run$.
Steps to Solve
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Identify the visible faces of the die In the different orientations of the die, the words visible are 'Eat', 'Cry', 'Play', 'Run', and 'Sleep'. We need to find the opposite face of 'Eat'.
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Determine adjacent faces From the first position, we see 'Eat' on the top face with 'Cry' and 'Play' on the adjacent sides. This suggests that 'Eat' is not adjacent to 'Run' or 'Sleep'.
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Examine other orientations In the second position, 'Eat' again appears on one face while 'Play' is adjacent to it. In the third position, 'Play' also is not adjacent to 'Eat'.
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Deduce the opposite face Since 'Run' and 'Sleep' are seen in different positions with respect to 'Eat' and neither is adjacent to it, they must be on opposite sides of the die. Since we know that 'Sleep' and 'Run' are adjacent, we can conclude that one of them must be opposite to 'Eat'.
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Final conclusion about the opposite face Given the positions, we conclude that the word opposite to 'Eat' is 'Run'.
The word on the face opposite to 'Eat' is $Run$.
More Information
Dice have the property that opposite faces add up to a constant sum. In this case, we deduced the arrangement of words based on adjacent positions without needing numerical summations.
Tips
- Misinterpreting the arrangement of words on the die can lead to incorrect conclusions. It is crucial to carefully visualize or sketch out the die to avoid confusion.
- Not considering all visible sides in multiple orientations can also lead to an erroneous conclusion.
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