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AMC8 2005

AMC8 2005 · Q3

AMC8 2005 · Q3. It mainly tests Transformations, Symmetry.

What is the minimum number of small squares that must be colored black so that a line of symmetry lies on the diagonal BD of square ABCD?
要使正方形 ABCD 的对角线 BD 成为对称轴,需要将多少个小正方形涂成黑色?
stem
(A) 1 1
(B) 2 2
(C) 3 3
(D) 4 4
(E) 5 5
Answer
Correct choice: (D)
正确答案:(D)
Solution
(D) For diagonal $BD$ to lie on a line of symmetry in square $ABCD$, the four small squares labeled $bl$ must be colored black.
(D)为了使对角线 $BD$ 位于正方形 $ABCD$ 的一条对称轴上,标记为 $bl$ 的四个小正方形必须涂成黑色。
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