Art of Problem Solving

2010 AMC 8 Problems/Problem 6: Difference between revisions

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==Problem==
==Problem==
Which of the following has the greatest number of line of symmetry?
Which of the following has the greatest number of line of symmetry?
<math> \textbf{(A)}\ \text{ Equilateral Triangle} </math>
<math> \textbf{(A)}\ \text{ Equilateral Triangle} </math>
<math> \textbf{(B)}\ \text{Non-square rhombus} </math>
<math> \textbf{(B)}\ \text{Non-square rhombus} </math>
<math> \textbf{(C)}\ \text{Non-square rectangle} </math>
<math> \textbf{(C)}\ \text{Non-square rectangle} </math>
<math> \textbf{(D)}\ \text{Isosceles Triangle} </math>
<math> \textbf{(D)}\ \text{Isosceles Triangle} </math>
<math> \textbf{(E)}\ \text{Square} </math>
<math> \textbf{(E)}\ \text{Square} </math>



Revision as of 18:40, 4 November 2012

Problem

Which of the following has the greatest number of line of symmetry?

$\textbf{(A)}\ \text{ Equilateral Triangle}$

$\textbf{(B)}\ \text{Non-square rhombus}$

$\textbf{(C)}\ \text{Non-square rectangle}$

$\textbf{(D)}\ \text{Isosceles Triangle}$

$\textbf{(E)}\ \text{Square}$

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 8 lines of symmetry.


Therefore, the answer is $\boxed{ \textbf{(E)}\ \text{square} }$.

See Also

2010 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 5
Followed by
Problem 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