Mike's exploration of geometric figures reveals that drawing two squares can create a maximum of 9 distinct regions. This conclusion is drawn from analyzing the intersections and overlaps of the squares, similar to the previously discussed case with circles, which resulted in 3 regions. The options presented were (A) 3, (B) 5, (C) 6, (D) 8, and (E) 9, with option (E) being the correct answer. The discussion emphasizes the importance of understanding geometric intersections in determining the number of regions formed.
PREREQUISITESMathematicians, geometry enthusiasts, educators teaching spatial reasoning, and students preparing for competitive exams involving geometric problem-solving.
By drawing two circles, Mike obtained a figure,
which consists of three regions (see picture). . \bigcirc\!\!\!\!\! \bigcirc
At most how many regions could he obtain
by drawing two squares?
(A) 3 . . (B) 5 . . (C) 6 . . (D) 8 . (E) 9
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* 1 *
* * * * * * * * *
*8* *2*
* *
* * * *
* 7 * 9 * 3 *
* * * *
* *
*6* *4*
* * * * * * * * *
* 5 *
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