The letter in the word ‘happy’ that displays order 2 rotational symmetry is the letter ‘h’.
To understand this better, let’s break down the concept of order 2 rotational symmetry. A shape has order 2 rotational symmetry if it looks the same after being rotated 180 degrees around a central point. In the case of the letter ‘h’, if you were to rotate it half a turn (180 degrees), it remains unchanged in appearance, maintaining its original form.
On the other hand, the other letters in ‘happy’ do not display this type of symmetry. The letter ‘a’, for example, would appear upside down when rotated, and ‘p’ and ‘y’ also lose their familiar shape upon rotation. Thus, ‘h’ stands out as the only letter with this specific symmetry property in the word.
This kind of exploration not only enhances our understanding of symmetry in letters but also adds an interesting layer to how we see everyday words. So, next time you look at the word ‘happy’, remember that it holds a little secret in the form of the letter ‘h’!