Are all equilateral triangles congruent?
Understand the Problem
The question is asking whether all equilateral triangles, which are triangles with all sides of equal length, are congruent to each other. This means that we need to consider the definition of congruence in geometry, which states that two figures are congruent if they have the same shape and size, i.e., their corresponding sides and angles are equal.
Answer
No, not all equilateral triangles are congruent.
The final answer is no, not all equilateral triangles are congruent.
Answer for screen readers
The final answer is no, not all equilateral triangles are congruent.
More Information
While all equilateral triangles have equal sides and angles, they can differ in size, thus not all are congruent. Congruence requires all sides and angles of the triangles to be identical in measurement.
Tips
A common mistake is to confuse similarity with congruence; while all equilateral triangles are similar (same shape), only those with identical side lengths are congruent.
Sources
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