Question

1. without rotating the letters 360°, which letters do not exhibit rotational symmetry for any amount of rotation?

Explanation:

Step1: Recall rotational symmetry concept

A shape has rotational symmetry if it looks the same after a rotation of less than 360°. Consider English - alphabet letters.

Step2: Analyze each letter

Letters like A, B, C etc. do not have rotational symmetry. Letters like H, I, N, O, S, X, Z have rotational symmetry. For example, the letter O looks the same after any rotation, and the letter H looks the same after a 180 - degree rotation. But letters such as A has a distinct orientation and does not look the same after any non - 360 - degree rotation.

Answer:

Most of the letters in the English alphabet such as A, B, C, D, E, F, G, J, K, L, M, P, Q, R, T, U, V, W, Y do not exhibit rotational symmetry for any amount of rotation less than 360°.