1977 AMC 12 第 2 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
2.
下列哪一项陈述是错误的？所有等边三角形都是
Which one of the following statements is false? All equilateral triangles are
等角三角形
equiangular
等腰三角形
isosceles
正多边形
regular polygons
彼此全等的三角形
congruent to each other
彼此相似的三角形
similar to each other
小提示：
区分由角决定的性质和由大小决定的性质
Separate properties determined by angles from properties determined by size
大提示：
比较两个边长不同的等边三角形
Compare two equilateral triangles having different side lengths
解答：
每个等边三角形都是等角三角形、等腰三角形和正多边形，并且与任意其他等边三角形相似。然而，边长不同的两个等边三角形并不全等。
因此，正确答案是 D。
Every equilateral triangle is equiangular, isosceles, regular, and similar to every other equilateral triangle. Two equilateral triangles with different side lengths are not congruent, however.
Therefore, the correct answer is D.
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