Are two squares always similar?
Understand the Problem
The question is asking whether all squares have the same shape and proportions, regardless of their size. This relates to the geometric property of similarity, which means that two shapes have the same shape but possibly different sizes.
Answer
Yes
The final answer is Yes, two squares are always similar.
Answer for screen readers
The final answer is Yes, two squares are always similar.
More Information
Squares have all angles as right angles and equal sides, meaning they maintain the same shape regardless of size, making all squares similar.
Tips
A common mistake is confusing similarity with congruence: similarity requires the same shape but not necessarily the same size.
Sources
- All squares are similar - Toppr - toppr.com
- Similarity | CK-12 Foundation - flexbooks.ck12.org
- Are two squares always similar? - Quora - quora.com
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