Difference between revisions of "1977 AHSME Problems/Problem 2"

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== Problem 2 ==
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Which one of the following statements is false? All equilateral triangles are
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<math>\textbf{(A)}\ \text{ equiangular}\qquad
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\textbf{(B)}\ \text{isosceles}\qquad
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\textbf{(C)}\ \text{regular polygons }\qquad\\
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\textbf{(D)}\ \text{congruent to each other}\qquad
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\textbf{(E)}\ \text{similar to each other} </math>
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==Solution==
 
==Solution==
 
Solution by e_power_pi_times_i
 
Solution by e_power_pi_times_i
  
The answer is not <math>\textbf{(A)}</math> because each angle is <math>60^{\circ}</math>
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Equilateral triangles can be in different sizes, therefore they are not <math>\boxed{\textbf{(D)}\ \text{congruent to each other}}</math>

Latest revision as of 11:24, 21 November 2016

Problem 2

Which one of the following statements is false? All equilateral triangles are

$\textbf{(A)}\ \text{ equiangular}\qquad \textbf{(B)}\ \text{isosceles}\qquad \textbf{(C)}\ \text{regular polygons }\qquad\\ \textbf{(D)}\ \text{congruent to each other}\qquad \textbf{(E)}\ \text{similar to each other}$


Solution

Solution by e_power_pi_times_i

Equilateral triangles can be in different sizes, therefore they are not $\boxed{\textbf{(D)}\ \text{congruent to each other}}$