Problem:
Which one of the following statements is false?
Answer Choices:
A. All equilateral triangles are congruent to each other.
B. All equilateral triangles are convex.
C. All equilateral triangles are equiangular.
D. All equilateral triangles are regular polygons.
E. All equilateral triangles are similar to each other.
Solution:
Triangles with side lengths of and are equilateral and not congruent, so is false. Statement is true since all triangles are convex. Statements and are true since each interior angle of an equilateral triangle measures . Furthermore, all three sides of an equilateral triangle have the same length, so is also true.