To determine which statement must be true based on the image, which I cannot see, we can analyze the statements provided. Let's break down each option logically:
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DF = DE
- This statement indicates that segment DF is equal to segment DE. Without further context or a specific relation shown in the image, we cannot assume this is true.
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2DF = AC
- This statement implies that segment AC is twice the length of segment DF. Again, without specific relationships indicated in the image, we cannot automatically conclude this.
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DE = 1/2 AB
- This states that segment DE is half the length of segment AB. Whether this is true would depend on particular properties or relationships depicted in the image.
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DF = 1/2 BC
- Similar to above, this states that DF is half the length of segment BC. The truth of this statement would also depend on the details present in the image.
To conclude which statement must be true, we would need to refer to the actual image or figure being discussed. If you have descriptions of the figures or the context surrounding these options (like triangle proportions, parallel lines, angles, etc.), that would help identify the true statement.
Since I can't view the image, I recommend you examine the relationships and properties depicted in the image to determine which statement logically follows from it. Consider shared lengths, triangles, or any properties that might enforce certain lengths being equal or proportional to one another.
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