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Find the False Statement

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January 19, 2006
MATHCOUNTS

Problem Statement

Which of the following statements is false? <spanclass=′latex−bold′>(A)</span> All equilateral triangles are congruent to each other. <span class='latex-bold'>(A)</span>\ \text{All equilateral triangles are congruent to each other.} <spanclass=′latex−bold′>(B)</span> All equilateral triangles are convex. <span class='latex-bold'>(B)</span>\ \text{All equilateral triangles are convex.} <spanclass=′latex−bold′>(C)</span> All equilateral triangles are equilangular. <span class='latex-bold'>(C)</span>\ \text{All equilateral triangles are equilangular.} <spanclass=′latex−bold′>(D)</span> All equilateral triangles are regular polygons. <span class='latex-bold'>(D)</span>\ \text{All equilateral triangles are regular polygons.} <spanclass=′latex−bold′>(E)</span> All equilateral triangles are similar to each other. <span class='latex-bold'>(E)</span>\ \text{All equilateral triangles are similar to each other.}
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