Which of the following statements is false? <img alt="$\mathrm{(A) \ All\ equilateral\ triangles\ are\ congruent\ to\ each\ other.}$" height="18" src="https://latex.artofproblemsolving.com/2/2/6/226f53a9a3cb67a136ae782a59331e0808b37b45.png" width="445" /> <img alt="$\mathrm{(B) \ All\ equilateral\ triangles\ are\ convex.}$" height="18" src="https://latex.artofproblemsolving.com/c/9/d/c9d0a02ba0c15b247c47b529d93fa71bf2a1539a.png" width="311" /> <img alt="$\mathrm{(C) \ All\ equilateral\ triangles\ are\ equianguilar.}$" height="18" src="https://latex.artofproblemsolving.com/e/0/4/e04f61d640de985d9b070de32ef586e7dcdc6f25.png" width="354" /> <img alt="$\mathrm{(D) \ All\ equilateral\ triangles\ are\ regular\ polygons.}$" height="18" src="https://latex.artofproblemsolving.com/c/8/8/c88fc351ff92c4af68ae276b983120524309285d.png" width="389" /> <img alt="$\mathrm{(E) \ All\ equilateral\ triangles\ are\ similar\ to\ each\ other.}$" height="18" src="https://latex.artofproblemsolving.com/1/6/e/16e178f312df7d4b2b86ffe0499599e21d1d29e4.png" width="419" />

Question No: 474

Which of the following statements is false?

$\mathrm{(A) \ All\ equilateral\ triangles\ are\ congruent\ to\ each\ other.}$

$\mathrm{(B) \ All\ equilateral\ triangles\ are\ convex.}$

$\mathrm{(C) \ All\ equilateral\ triangles\ are\ equianguilar.}$

$\mathrm{(D) \ All\ equilateral\ triangles\ are\ regular\ polygons.}$

$\mathrm{(E) \ All\ equilateral\ triangles\ are\ similar\ to\ each\ other.}$

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Tags: Geometry

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