AMC8 2010

AMC8 2010 · Q6

AMC8 2010 · Q6. It mainly tests Symmetry.

Which of the following figures has the greatest number of lines of symmetry?

下列图形中，哪一个有最多的对称轴？

(A) equilateral triangle 等边三角形

(B) non-square rhombus 非正方形菱形

(D) isosceles trapezoid 等腰梯形

(E) square 正方形

Answer

Correct choice: (E)

正确答案：（E）

Solution

An equilateral triangle has $3$ lines of symmetry. A non-square rhombus has $2$ lines of symmetry. A non-square rectangle has $2$ lines of symmetry. An isosceles trapezoid has $1$ line of symmetry. A square has $4$ lines of symmetry. Therefore, the answer is $\boxed{ \textbf{(E)}\ \text{square} }$.

等边三角形有 $3$ 条对称轴。非正方形菱形有 $2$ 条对称轴。非正方形矩形有 $2$ 条对称轴。等腰梯形有 $1$ 条对称轴。正方形有 $4$ 条对称轴。因此，答案是 $\boxed{ \textbf{(E)}\ \text{正方形} }$。

Topics

GE.012 Symmetry