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2010 AMC 8 Problems/Problem 6: Difference between revisions

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An equilateral triangle has 3 lines of symmetry.
==Problem==
A non-square rhombus has 2 lines of symmetry.
Which of the following figures has the greatest number of 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.


<math> \textbf{(A)}\ \text{equilateral triangle} </math>


Therefore, the answer is <math> \textbf{(E)}\ \text{square} </math>.
<math> \textbf{(B)}\ \text{non-square rhombus} </math>
 
<math> \textbf{(C)}\ \text{non-square rectangle} </math>
 
<math> \textbf{(D)}\ \text{isosceles trapezoid} </math>
 
<math> \textbf{(E)}\ \text{square} </math>
 
==Solution==
An equilateral triangle has <math>3</math> lines of symmetry.
A non-square rhombus has <math>2</math> lines of symmetry.
A non-square rectangle has <math>2</math> lines of symmetry.
An isosceles trapezoid has <math>1</math> line of symmetry.
A square has <math>4</math> lines of symmetry.
 
 
Therefore, the answer is <math>\boxed{ \textbf{(E)}\ \text{square} }</math>.
 
 
 
==Video Solution by @MathTalks==
https://youtu.be/RhyRqHMXvq0?si=m1R2q8UnLRD-KksT
 
==Video Solution by WhyMath==
https://youtu.be/hoZO5M0raTI


==See Also==
==See Also==
{{AMC8 box|year=2010|num-b=4|num-a=6}}
{{AMC8 box|year=2010|num-b=5|num-a=7}}
{{MAA Notice}}

Latest revision as of 10:25, 18 November 2024

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


Video Solution by @MathTalks

https://youtu.be/RhyRqHMXvq0?si=m1R2q8UnLRD-KksT

Video Solution by WhyMath

https://youtu.be/hoZO5M0raTI

See Also

2010 AMC 8 (Problems • Answer Key • Resources)
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

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: File missing

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