AAA (angle-angle-angle) does not guarantee congruence between two triangles.A.TrueB.False
Question
AAA (angle-angle-angle) does not guarantee congruence between two triangles.
A. True
B. False
Solution
The statement "AAA (angle-angle-angle) does not guarantee congruence between two triangles" is True.
Explanation:
- Understanding AAA: When two triangles have equal corresponding angles, they are said to be similar (AAA similarity). However, similarity does not imply that the triangles are congruent.
- Congruence vs. Similarity: Congruent triangles have both the same shape and size, while similar triangles have the same shape but not necessarily the same size.
- Conclusion: Therefore, AAA criterion does not guarantee congruence, as two triangles can be similar and have the same angles but different side lengths.
Final Answer
A. True
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