The answer is: [B]: may.
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Plane ABC and Plane BCE MAY be the same plane.
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Note: We can still determine the answer WITHOUT an illustration.
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Explanation:
__________________________________Note that: Two (2) points) determine a line; whereas three (3) points determine a plane.
→ As such, Plane ABC and Plane BCE MAY be the same plane. This would be the case if "Point E" is on Plane ABC. {That is to say, if "Point A" is on Plane BCE }.
→This would be the only "circumstance".
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→ Hence the answer is: [B]: may.
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Answer choice: [A]: "must" ; is incorrect.
It is clearly INCORRECT to say that:
"Plane ABC and Plane BCE "must" be the same plane._____________________________
Answer choice: [C]: "cannot" is clearly incorrect.
As per the example explained above, it is clearly INCORRECT to say that:
""Plane ABC and Plane BCE "cannot" be the same plane.
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