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sleet_krkn [62]
4 years ago
10

Plane ABC and plane BCE ____ be the same plane. A. must B. may C. cannot

Mathematics
1 answer:
olga_2 [115]4 years ago
5 0
The answer is: [B]:  may.
______________________________________________
 
Plane <em>ABC</em> <span>and Plane </span><em>BCE </em> <u>MAY</u> be the same plane.
_____________________________________________
Note: We can still determine the answer WITHOUT an illustration.
______________________________________________
Explanation:
__________________________________Note that:  Two (2) points) determine a line; whereas three (3) points determine a plane. 
→ As such, Plane <em>ABC </em>and Plane <em>BCE</em> <u>MAY</u> be the same plane.  This would be the case if "<u>Point E</u>" is on Plane <em>ABC</em>.  {That is to say, if "<u>Point A</u>" is on Plane <em>BCE </em>}.

→This would be the only "circumstance".
___________________________________________
<span>→ Hence the answer is: [B]:  may.</span>
______________________________
Answer choice: [A]: "must" ; is incorrect.  
       It is clearly INCORRECT to say that:
"Plane <em>ABC</em> and Plane <em>BCE</em> "<u>must</u>" 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 <em>ABC </em>and Plane <em>BCE</em> "<u>cannot</u>" be the same plane.
__________________________________________________
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