# 2010 AMC 8 Problems/Problem 6

## Problem

Which of the following figures has the greatest number of lines of symmetry? $\textbf{(A)}\ \text{equilateral triangle}$ $\textbf{(B)}\ \text{non-square rhombus}$ $\textbf{(C)}\ \text{non-square rectangle}$ $\textbf{(D)}\ \text{isosceles trapezoid}$ $\textbf{(E)}\ \text{square}$

## 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 $\boxed{ \textbf{(E)}\ \text{square} }$.

## See Also

 2010 AMC 8 (Problems • Answer Key • Resources) Preceded byProblem 5 Followed byProblem 7 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 All AJHSME/AMC 8 Problems and Solutions

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